Properties of the Number 31340

Thirty-One Thousand Three Hundred Forty

Basics

Value: 31339 → 31340 → 31341

Parity: even

Prime: No

Previous Prime: 31337

Next Prime: 31357

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 1567

Divisors: 1, 2, 4, 5, 10, 20, 1567, 3134, 6268, 7835

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001101100

Octal: 75154

Duodecimal: 16178

Hexadecimal: 7a6c

Square: 982195600

Square Root: 177.03107071923844

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

Number of integer partitions of n with more parts than distinct divisors of parts. A371171

Number of integer partitions of n containing all of their own nonzero first differences. A364674

Records in A388038. A388262

Number of walks within N² (the first quadrant of Z²) starting at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 1), (-1, 0), (0, -1), (0, 1), (1, -1), (1, 0), (1, 1)}. A151331

Number of n-move king paths on 8 X 8 board from given corner to any square. A25595

Number of nondecreasing arrangements of n+2 numbers in 0..6 with each number being the sum mod 7 of two others. A183909

Convolution of A000085 with itself. A188287

Least positive integer k such that (k-1)²+(k·n)², k²+(k·n-1)², (k+1)²+(k·n)² and k²+(k·n+1)² are all prime. A261382

On a 3 X 3 board, the number of n-move paths for a chess king ending in a given corner square. A86346

a(n) = prime(7·n). A31340