Properties of the Number 31497

Thirty-One Thousand Four Hundred Ninety-Seven

Basics

Value: 31496 → 31497 → 31498

Parity: odd

Prime: No

Previous Prime: 31489

Next Prime: 31511

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 10499

Divisors: 1, 3, 10499, 31497

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101100001001

Octal: 75411

Duodecimal: 16289

Hexadecimal: 7b09

Square: 992061009

Square Root: 177.4739417492044

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 ways to tile a 5 X n region with square tiles of size up to 5 X 5. A54857

Number of tilings of an 8 X n rectangle using integer-sided square tiles. A219927

a(1)=a(2)=1; thereafter, a(n+1) = a(n) + a(n-1) + 1 if n is a multiple of 5, otherwise a(n+1) = a(n) + a(n-1). A124502

Number of base 17 n-digit numbers with adjacent digits differing by one or less. A126371

Number of n X 8 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally. A188865

Number of nondecreasing arrangements of n numbers in -3..3 with sum zero and sum of squares less than n·12/3. A183929

a(1) = 3; for n > 1, choose a(n) to be the smallest number such that a(n) > a(n-1) and (a(n)*a(n-1)+1) mod (a(n)+a(n-1)+1) = 0. A64457

a(n) = binomial(3·n,n)/(2·n+1) (enumerates ternary trees and also noncrossing trees). A1764

Numbers whose base-10 representation has one more 0 than 9's. A31497