Properties of the Number 31456

Thirty-One Thousand Four Hundred Fifty-Six

Basics

Value: 31455 → 31456 → 31457

Parity: even

Prime: No

Previous Prime: 31397

Next Prime: 31469

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 983

Divisors: 1, 2, 4, 8, 16, 32, 983, 1966, 3932, 7864

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111101011100000

Octal: 75340

Duodecimal: 16254

Hexadecimal: 7ae0

Square: 989479936

Square Root: 177.3583942191629

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 of odd rank. A340692

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements. A251010

Number of permutations of length n without increasing or decreasing modular 3-sequences. A165963

G.f.: ∑_n>=0 xⁿ * (xⁿ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹, where i² = -1. A323675

a(n) is the smallest number greater than a(n-1) such that in a(0) through a(n) no digit occurs more than once more than any other digit. A95204

Number of maximal independent vertex sets (and minimal vertex covers) in the n X n black bishop graph. A290594

Number of maximal independent vertex sets (and minimal vertex covers) in the n X n white bishop graph. A290613

"Erase or triple": list of the successive integers that produce the next "altitude" record (see the comments section). A300150

Numbers k for which there are no prime numbers in the range (k-4·sqrt(sqrt(k)), k]. A192320

Triangle read by rows: T(n,k) is the number of permutations of k elements from [1..n] with longest consecutive chain size less than 3, when 1 and n are considered to be consecutive. A340107