44

44 = 2² x 11.

44 is the smallest number that is the sum of a reversible pair of non-palindromic primes: 13 + 31 = 44.

44 is the first number such that it and the next number are the product of a prime and another distinct prime squared: 44 = 2² x 11 and 45 = 3² x 5.

44 is the maximum number of regions into which the plane can be divided by seven circles.


44 is the atomic number of the chemical element ruthenium.

Source: Number Gossip

1101

1101 = 3 x 367.

1101 has a base 2 representation (10001001101) that ends in 1101.

1101 is the sum of three distinct powers of 10: 1101 = 10³ + 10² + 10⁰.

1101 is a number divisible by the sum of the squares of its digits.


1101 Clematis is an asteroid discovered in 1928 and named for a flower.

Source: Positive Integers

900

900 = 2² x 3² x 5².

900 is a square number: 30 x 30 = 900.

900 is the smallest square that is the sum of different primes by using all ten digits: 900 = 503 + 241 + 89 + 67 = 509 + 283 + 61 + 47.

900 has a base 5 representation (12100) that begins with its base 9 representation (1210). Its base 7 representation is 2424.

900 has a representation as a sum of two squares: 900 = 18² + 24².


900 is the sum (in degrees) of the internal angles of a heptagon.

Source: Prime Curios!

894

894 = 2 x 3 x 149.

894 has a base 5 representation (12034) that begins with its base 9 representation (1203).

894 is the smallest of three consecutive integers divisible by three consecutive primes respectively: 894 is divisible by 3, 895 is divisible by 5, and 896 is divisible by 7.

894 is the sum 13 positive fifth powers.


Interstate 894 is a stretch of highway that serves as a bypass for Milwaukee, Wisconsin.

Source: What’s Special About This Number?

784

784 = 2⁴ x 7².

784 is a square number: 28 x 28 = 784.

784 is the square of the sum of the first seven integers: (1 + 2 + 3 + 4 + 5 + 6 + 7)² = 784.

784 is the sum of the first seven cubes: 1³ + 2³ + 3³ + 4³ + 5³ + 6³+ 7³ = 784.

784 is 1002001 in base 3 and 3344 in base 6.

Asteroid 784 Pickeringia was discovered in 1914.

Source: Numeropedia

638

638 = 2 x 11 x 29.

638 is the sum of four consecutive primes: 151 + 157 + 163 + 167 = 638.

638 is the solution to the postage stamp problem for 7 denominations and 6 stamps.


638 is a centered heptagonal number.


The Islamic calendar was introduced in the year 638.

Source: Wikipedia

526

526 = 2 x 263.

526 is the number of ways to cut an 8-by-8 chessboard into two pieces with equal areas using a cut that travels only up and right.

526 is a Smith number. It a composite number such that the sum of its digits is equal to the sum of its prime factors: 5 + 2 + 6 = 2 + 2 + 6 + 3 = 13.

526 and 527 are both the products of two primes: 526 = 2 x 263 and 527 = 17 x 31.


526 is a centered pentagonal number.


Source: What’s Special About This Number?