### Properties of the number 956:

956 = 2^{2}× 239 is the 793

^{th}composite number and is not squarefree.

956 has 2 distinct prime factors, 6 divisors, 11 antidivisors and 476 totatives.

956 has an oblong digit sum 20 in base 10.

Reversing the decimal digits of 956 results in a prime.

956 = 240

^{2}- 238

^{2}is the difference of 2 nonnegative squares in 1 way.

956 is the sum of 2 positive triangular numbers.

956 is the difference of 2 positive pentagonal numbers in 1 way.

956 is not the sum of 3 positive squares.

956

^{2}is the sum of 3 positive squares.

956 is a divisor of 479

^{2}- 1.

956 = '95' + '6' is the concatenation of 2 semiprime numbers.

956 is palindromic in (at least) the following bases: 14, 18, and -17.

956 in base 14 = 4c4 and consists of only the digits '4' and 'c'.

956 in base 18 = 2h2 and consists of only the digits '2' and 'h'.

956 in base 30 = 11q and consists of only the digits '1' and 'q'.

### The number 956 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A003480: a(n) = 4a(n-1) - 2a(n-2) (n >= 3).

A006313: Numbers n such that n^16 + 1 is prime.

A006314: Numbers n such that n^8 + 1 is prime.

A023359: Number of compositions (ordered partitions) of n into powers of 2.

A060978: |First digit - second digit + third digit - fourth digit ...| = 10.

A087097: Lunar primes (formerly called dismal primes) (cf. A087062).

A161424: Numbers n such that their largest divisor <= sqrt(n) equals 4.

A231145: Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 5 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=n-n%2, read by rows.

A235229: Numbers whose sum of digits is 20.

A238557: Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 8 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=4*floor(n/2), read by rows.

## No comments:

## Post a Comment