Properties of the Number 31550

Thirty-One Thousand Five Hundred Fifty

Basics

Value: 31549 → 31550 → 31551

Parity: even

Prime: No

Previous Prime: 31547

Next Prime: 31567

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 ² × 631

Divisors: 1, 2, 5, 10, 25, 50, 631, 1262, 3155, 6310

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111101100111110

Octal: 75476

Duodecimal: 16312

Hexadecimal: 7b3e

Square: 995402500

Square Root: 177.6231966833161

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west or southwest neighbor modulo n and the upper left element equal to 0. A266904

Coefficient triangle of polynomials (rising powers) related to Fibonacci convolutions. Companion triangle to A057280. A57995

a(n) = n*(4·n² + n - 1)/2. A125200

Number of nonnegative integer 3 X 3 matrices with sum of elements equal to n, up to rotational symmetry. A54771

Coefficient triangle of polynomials (falling powers) related to Fibonacci convolutions. Companion triangle to A057282. A57281

Number of right triangles on an (n+1) X 5 grid. A189809

Number of nX3 arrays containing 3 copies of 0..n-1 with no element 1 greater than its north, west or southwest neighbor modulo n and the upper left element equal to 0. A266903

Number of 5Xn arrays containing n copies of 0..5-1 with no element 1 greater than its north, west or southwest neighbor modulo 5 and the upper left element equal to 0. A266907

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 52. A31550

Number of (n+1)X8 binary arrays with every 2X2 subblock singular. A184684