484

484 = 2² x 11²

484 is a square number: 22 x 22 = 484.

484 is a palindrome in base 3 (12221) and in base 10.

484 has exactly nine divisors: 1, 2, 4, 11, 22, 44, 121, 242, 484.


Juliett 484 was a Soviet guided-missile submarine that eventually ended up on display at the Russian Sub Museum in Providence, R.I.

Source: The Positive Integers

382

382 = 2 x 191.

382 is the maximum number of regions into which 20 circles divide the plane.

382 is the sum of ten consecutive primes: 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 = 382.

382 is a Smith number.

The sum of the divisors of 382 is a square: 1 + 2 + 191 + 382 = 576 = 24².


382 Dodona is a large main-belt asteroid discovered in 1894.

Source: Wikipedia

256

256 = 2⁸. It is the smallest prime power of a prime power of a prime power of a prime.

256 is a square number: 16 x 16 = 256.

256 is the number of possible values that can be stored in a byte (8 bits).

256 is one of two fourth powers using the same digits: 4⁴ = 256 and 5⁴ = 625.

256 is the number of integer partitions of 29 into distinct parts.

256 is the number of drams in a pound.

Source: Numeropedia

150

150 = 2 x 3 x 5².

2¹⁵⁰ – 3 and 2¹⁵⁰ – 5 are twin primes.

150 is the largest gap between consecutive twin prime pairs less than a thousand. It occurs between {659, 661} and {809, 811}.

Each internal angle of a regular 12-sided polygon (dodecagon) is 150^o.


Sesquicentennial is a period of 150 years.

Source: Prime Curios!

37

37 is a prime number.

37 is the least number of 5th powers needed to represent every possible integer.

37 is the maximum number of regions into which 8 lines divide the plane.

The sum of the first 37 primes is a Fibonacci number.

37 has a representation as a sum of two squares: 37 = 1² + 6².

37 is the hypotenuse of a primitive Pythagorean triple: 37² = 12² + 35².

37 is a centered hexagonal number.

Abraham Lincoln was first elected to the U.S. House of Representatives at age 37.

Source: 37 Heaven!

1123

1123 is a prime number.

1123 is a prime of the form n² + n + 1, for n = 33.

1123 has digits that start the Fibonacci sequence.

1123 is the smallest prime showing three consecutive digits.

1123 is a divisor of 33³ - 1.


11/23 (November 23) is the only date containing the concatenation of two 2-digit primes that can be read as a prime number in either "month-day" or "day-month" format, i.e., 11/23 or 23/11.

Source: Prime Curios!

995

995 = 5 x 199.

995 is a square-free number because its prime decomposition contains no repeated factors.

995 is the smallest multiple of 5 whose digits sum to 23.

995 is a number that can't be expressed as the sum of a prime number and a Fibonacci number.


995 is the approximate speed (in meters per second) of Mach 3 (three times the speed of sound).

Source: Number Gossip