Properties of the Number 31345

Thirty-One Thousand Three Hundred Forty-Five

Basics

Value: 31344 → 31345 → 31346

Parity: odd

Prime: No

Previous Prime: 31337

Next Prime: 31357

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 6269

Divisors: 1, 5, 6269, 31345

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001110001

Octal: 75161

Duodecimal: 16181

Hexadecimal: 7a71

Square: 982509025

Square Root: 177.04519197086375

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 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300321

T(n,k) is the number of length-n weak ascent sequences (prefixed with a zero) with k weak ascents, triangle read by rows. A369321

a(1) = 1 and for n > 1 let a(n) = a(n-1) + m, where m is the arithmetic mean of the largest subset of all predecessors such that m is an integer and m is maximal. A63676

Number of nX5 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300318

a(-1)=0. a(n)=a(n-1)²+2ⁿ. A168320

Number of n X n 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300315

Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero. A297939

Write primes in base 10 but interpret as if in base 13. A31345