Wednesday, June 29, 2011

8880

8880 = 24 x 3 x 5 x 37.

8880 is a divisor of 314 - 1.

8880 is 3344 in base 14.

8880 is a number that can be expressed as the difference of the squares of primes in just three distinct ways.

8880 is a multiple of 24 whose digits also sum to 24.


The 8880 Super Car was a Lego Technic kit released in 1994.

Tuesday, June 28, 2011

837

837 = 33 x 31.

837 is a divisor of 266 - 1.

837 is 345 in base 16.

837 is the sum of two consecutive primes and the composite numbers in between: 837 = 89 + 90 + 91 + 92 + 93 + 94 + 95 + 96 + 97.

Halley's comet was particularly bright when it appeared in the year 837 and made one of its closest approaches to Earth.

Monday, June 27, 2011

464

464 = 24 x 29.

464 has a representation as a sum of two squares: 464 = 82 + 202.

464 is the maximum number of regions into which 22 circles can divide the plane. It is also the maximum number of volumes into which 12 spheres can divide space.

464 is 565 in base 9. It is 252 in base 14.


In chess, 464 is the number of legal positions of the kings, not counting mirrored positions.

Friday, June 24, 2011

702

702 = 2 x 33 x 13.

702 is a pronic number because it is the product of two consecutive integers: 702 = 26 x 27.

702 is 222000 in base 3 and 2022 in base 7.

702 is a number n such that n3 is the sum of two consecutive primes: 7023 = 345,948,408 = 172,974,199 + 172,974,209.

702 is a musical group (R&B trio) named after the area code of their hometown: Las Vegas, Nevada.

Thursday, June 23, 2011

159

159 = 3 x 53. Concatenating the prime factors gives 353, which is a peak palindrome and a prime number.

In 1973, Jean-Marc Deshouillers showed that all integers are the sum of at most 159 prime numbers.

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

159 x 48 = 7632 uses all the digits from 1 to 9 once.

1352, 1592, and 2852 use the same digits: 1352 = 18225; 1592 = 25281; and 2852 = 81,225.

The chemical element terbium has one stable isotope, which has as mass number of 159.

Wednesday, June 22, 2011

8810

8810 = 2 x 5 x 881.

8810 has two representations as a sum of two squares: 8810 = 232 + 912 = 592 + 732.

8810 has a square whose digits each occur twice: 88102 = 77,616,100.

8810 is a number n such that n time n + 7 gives the concatenation of two numbers m and m + 3: 8810 x 8817 = 77,677,770.

The Nokia 8810 was a mobile phone introduced in 1998 and available only in Europe.

Tuesday, June 21, 2011

880

880 = 24 x 5 x 11.


880 is the number of 4 x 4 magic squares.

880 is a number that can't be represented as a sum of three squares.

880 is 1177 in base 9.

880 Herba is an asteroid discovered in 1917.

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