Properties of the Number 21338

Twenty-One Thousand Three Hundred Thirty-Eight

Basics

Value: 21337 → 21338 → 21339

Parity: even

Prime: No

Previous Prime: 21323

Next Prime: 21341

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 47 × 227

Divisors: 1, 2, 47, 94, 227, 454, 10669, 21338

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001101011010

Octal: 51532

Duodecimal: 10422

Hexadecimal: 535a

Square: 455310244

Square Root: 146.0753230357544

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 split a strict integer partition of n into consecutive subsequences with weakly decreasing sums. A319794

a(n) = coefficient of xⁿ in A(x) such that: 1 = ∑_n=-oo..+oo xⁿ * (A(x) - x^5·n+4)^n-1. A358964

Number of partitions in parts not of the form 23k, 23k+1 or 23k-1. Also number of partitions with no part of size 1 and differences between parts at distance 10 are greater than 1. A35989

Numerators of hypergeometric Cauchy numbers c_2,n. A224090

Numbers k such that [prime(k), prime(k+1), prime(k+2)] = [1, 2, 3] mod 11. A302767

Engel expansion of ∑_k>=0 1/(3 + k)^k. A63186

Array read by downward antidiagonals: A(n,k) = A(n-1,k+1) + ∑_j=0..k binomial(k+1,j)*A(n-1,j)*A(k-j,0) with A(0,k) = 1. A392058

Decimal expansion of 1/334. A21338