Showing posts with label semiprime. Show all posts
Showing posts with label semiprime. Show all posts

Thursday, October 6, 2011

482

482 = 2 x 241.

482 has a representation as a sum of two squares: 482 = 112 + 192.

482 is 222 in base 15. It is 585 in base 9.

482 is a number whose square (232,324) and cube (111,980,168) use different digits.

482 Music is an independent record label featuring international jazz.

Wednesday, September 28, 2011

458

458 = 2 x 229.

458 has a representation as a sum of two squares: 458 = 132 + 172.

458 is a number that does not have any digits in common with its cube: 4583 = 96,071,912.

4582 contains exactly six different digits: 4582 = 209,764.

The Ferrari 458 Italia is a sports car that was introduced in 2009.

Thursday, September 22, 2011

339

339 = 3 x 113.


339 is the number of ways to divide 5 black and 5 white beads into piles.


3393 = 38,958,219 = (389 - 58 - 2 + 1 + 9)3.


339 is 2324 in base 5 and 1323 in base 6. It is 523 in base 8.


339 is the sum of the squares of three consecutive primes: 339 = 72 + 112 + 132.


The Gibson ES-339 is a custom hand-crafted electric guitar.



Wednesday, September 21, 2011

143

143 = 11 x 13.


143 is the smallest brilliant number whose reversal, 341, is a different brilliant number.


143 is an aspiring number.


The last 143 digits of 143143 form a prime number.


143 is the number of three-digit primes.


Every positive integer is the sum of at most 143 seventh powers.


1432 is a divisor of 143143.


143 is the sum of three consecutive primes and the sum of seven consecutive primes: 143 = 43 + 47 + 53 = 11 + 13 + 17 + 19 + 23 + 29 + 31.


Vickers Type 143 was a British single-seat biplane designed and built in 1929.



Tuesday, September 20, 2011

247

247 = 13 x 19. Its digits sum to the smallest prime factor: 2 + 4 + 7 = 13.




247 is the smallest possible difference between two integers that together contain each digit exactly once: 247 = 50,123 - 49876.


2472 is one of six square numbers that use the same digits: 2472 = 61,009; 1302 = 16.900; 1402 = 19,600; 3102 = 96,100; 1032 = 10,609; and 3012 = 90,601.


247 Eukrate is a large, dark asteroid discovered in 1885.



Monday, September 19, 2011

551

551 = 19 x 29.


551 is the sum of three consecutive primes: 551 = 179 + 181 + 191.


551 is a centered decagonal number.


551 is the number of trees with 12 vertices.


551 is 202102 in base 3 and 20213 in base 4.


551 is a divisor of 303 - 1.


551 Ortrud is an asteroid discovered in 1904.



Tuesday, September 13, 2011

1099

1099 = 7 x 157.


1099 is 777 in base 12.


1099 = 1 + 0 + 999 + 99.


1099 and 10992 = 1,207,801 have the same digit sum: 1 + 0 + 9 + 9 = 1 + 2 + 0 + 7 + 8 + 0 + 1 = 19.


1099 is the sum of seven consecutive primes: 1099 = 139 + 149 + 151 + 157 + 163 + 167 + 173.


In the United States the 1099 IRS tax form shows how much an independent contractor made from a certain business.



Thursday, September 8, 2011

807

807 = 3 x 269.


807!/708! - 1 is a prime number.


807 and 8072 = 651,249 combined use different digits.


807 is the sum of two pentagonal numbers in exactly two ways: 807 = 715 + 92 = 477 + 330.


807 is the sum of 13 positive fifth powers.


Telephone area code 807 covers the northwestern portion of the province of Ontario.



Tuesday, September 6, 2011

502

502 = 2 x 251.


502 is a divisor of 525 - 1.


502 is an Eulerian number.


502 and its reversal (205) are both semiprimes (the product of two primes).


502 is a number such that the sum of its base 2 digits (1 + 1 + 1 + 1 + 1 + 0 + 1 + 1 + 0 = 7) is equal to the sum of its base 10 digits (5 + 0 + 2 = 7).


Telephone area code 502 serves Louisville, Kentucky, and the surrounding area.



Friday, September 2, 2011

1318

1318 = 2 x 659.


1318 is a semiprime with a prime sum of factors: 2 + 659 = 661, a prime. 1318 is a semiprime that is 1 less than a prime, 1319.


1318 is a divisor of 557 - 1.


1318 is 414 in base 18.


1318 is the rectilinear crossing number of a complete graph of 19 nodes.




Tuesday, August 30, 2011

1317

1317 = 3 x 439.

1317 is palindromic in base 2 (binary): 1010001000101. It is 1210210 in base 3.

1317 is the concatenation of the sixth and seventh primes. It is also the concatenation of the seventh Fibonacci number and the seventh prime.

131771317 and 713177 are both primes.

1317 is a semiprime for which the product of its digits is also a semiprime: 1 x 3 x 1 x 7 = 21 = 3 x 7.


NGC 1317 is a galaxy with a starburst ring.

Thursday, August 25, 2011

1535

1535 = 5 x 307.

1535 is 113333 in base 4, 2777 in base 8, and 555 in base 17.

1535 is a Thabit (or 321) number, having the form 3 x 2n - 1 for n = 9.

The sum of the digits of 15352 (2,356,225) and the product of its digits are both squares: 2 + 3 + 5 + 6 + 2 + 2 + 5 = 25 = 52 and 2 x 3 x 5 x 6 x 2 x 2 x 5 = 3600 = 602.


NGC 1535 is a nebula in the constellation Eridanus.

Thursday, August 11, 2011

959

959 = 7 x 137.

959 is the first odd number that is not the sum of a prime and a power of two.

959 is a Carol number.

9592 = 919,681 = (-9 + 1 + 968 - 1)2.

959 is a divisor of 418 - 1.

959 is a number that cannot be written as a sum of three squares.


The Porsche 959 was a sports car manufactured from 1986 t0 1989.

Tuesday, August 9, 2011

746

746 = 2 x 373.

746 has a representation as a sum of two squares: 746 = 112 + 252.

746 = 17 + 24 + 36.

746 x 8 x 92 x 531 = 291,548,736. Both sides of the equation use each of the digits from 1 to 9 once.

746 is the sum of two nonzero pentagonal pyramidal numbers: 746 = 550 + 196.

A horsepower is a unit of power equal to about 746 watts.

Monday, August 8, 2011

633

633 = 3 x 211.

633 is 1001111001 in base 2 (binary). It is 333 in base 14.

633 has the representation 633 = 36 - 96.

633 is a divisor of 555 - 1.

633 is the smallest number n whose fifth root has a decimal part that begins with the digits of n: 3.633128. . .

6333 = 253,636,137 = (2 - 5 + 3 + 636 + 1 + 3 - 7)3.


633 Squadron was a 1964 British film that depicted the exploits of a fictional World War II fighter-bomber squadron.

Friday, August 5, 2011

327

327 = 3 x 109. The digits of 327 are themselves all primes.

327 is largest number n such that n, 2n, and 3n contain every digit from 1 to 9 exactly once: 327, 654, 981. In other words, the sum 327 + 654 = 981 contains each of the digits from 1 to 9 once.

327 is the number of 5s among the digits of all four-digit primes.

327 is a divisor of 764 - 1.

327 is a number that cannot be written as a sum of three squares. It is the sum of four but no fewer squares.


The BMW 327 was a touring car produced between 1937 and 1941.

Tuesday, August 2, 2011

303

303 = 3 x 101.

303 is the number of bipartite graphs on eight nodes (vertices).

3033 = 27,818,127, which is a concatenation of the cubes 1, 8, and 27.

303 is a divisor of 1012 - 1.

303 is a number that cannot be written as a sum of three squares.


In the Gregorian calendar, 303 is the number of years that are not leap years in a period of 400 years.

Friday, July 22, 2011

447

447 = 3 x 149.

447 is a divisor of 444 - 1.

447 is the smallest number of convex quadrilaterals formed by 15 points in general position.

447 is 677 in base 8 and 377 in base 11. It is 313 in base 12.

447 is a number that cannot be written as a sum of three squares.


Air France Flight 447 from Rio de Janeiro to Paris crashed into the Atlantic Ocean on June 1, 2009.

Friday, July 15, 2011

835

835 = 5 x 167.

835 is the ninth Motzkin number.

835 is 343 in base 16.

835 is the sum of six positive cubes in exactly three ways.


Inn at 835 is a historic hotel in Springfield, Illinois.

Thursday, July 14, 2011

267

267 = 3 x 89.

267 is a divisor of 882 - 1.

267 is the smallest number n such that n plus a googol is prime.

267 is the number of planar partitions of 12.

267 is 151 in base 14.

267 is the number of groups of order 64.

267 is the telephone area code for parts of eastern Pennsylvania.

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