Properties of the Number 21974

Twenty-One Thousand Nine Hundred Seventy-Four

Basics

Value: 21973 → 21974 → 21975

Parity: even

Prime: No

Previous Prime: 21961

Next Prime: 21977

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 10987

Divisors: 1, 2, 10987, 21974

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010111010110

Octal: 52726

Duodecimal: 10872

Hexadecimal: 55d6

Square: 482856676

Square Root: 148.2362978490761

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 partitions of n such that the multiplicity of the number of parts is a part. A240499

a(n) = ∑_k=0..n binomial(n+4·k+4,n-k) * Catalan(k). A360057

Number of length n arrays of permutations of 0..n-1 with each element moved by -5 to 5 places and equal numbers of elements moved upwards and downwards. A263741

Convolution of odd numbers and A001950. A23659

Numbers n such that there are precisely 2 groups of order n and 3 of order n + 1. A296025

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and equal numbers of elements moved upwards and downwards. A263744

Expansion of g.f. 1/((1-x)*(1-4·x)*(1-9·x)*(1-12·x)). A21974