Properties of the Number 23031

Twenty-Three Thousand Thirty-One

Basics

Value: 23030 → 23031 → 23032

Parity: odd

Prime: No

Previous Prime: 23029

Next Prime: 23039

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 853

Divisors: 1, 3, 9, 27, 853, 2559, 7677, 23031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100111110111

Octal: 54767

Duodecimal: 113B3

Hexadecimal: 59f7

Square: 530426961

Square Root: 151.75967843930087

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 unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317611

a(n) = exp(-n) * ∑_k>=0 (k + 1)ⁿ * n^k / k!. A334240

Numbers k such that k and k+1 are both of the form p·q³ where p and q are distinct primes. A215173

Square array T(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of e.g.f. exp(k*(exp(x) - 1) + x). A335975

Number of set partitions of [n] having exactly six pairs (m,m+1) such that m+1 is in some block b and m is in block b+1. A270960

Discriminants of totally complex sextic fields (negated). A23687

Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317608

Number of nXn 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317605

Number of compositions of n into 6 ordered relatively prime parts. A23031

G.f. A(x) satisfies [xⁿ] A(x)ⁿ = [xⁿ] -1/A(x)ⁿ⁺¹ for n > 1 with A(0) = 1, A'(0) = 1. A383556