Properties of the Number 32022

Thirty-Two Thousand Twenty-Two

Basics

Value: 32021 → 32022 → 32023

Parity: even

Prime: No

Previous Prime: 32009

Next Prime: 32027

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 593

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 593, 1186

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110100010110

Octal: 76426

Duodecimal: 16646

Hexadecimal: 7d16

Square: 1025408484

Square Root: 178.94691950408088

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

Triangle read by rows: Take a hexagon with all diagonals drawn, as in A331931. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+4. A331932

Records in the indices of largest unsigned Stirling number of first kind: a(n) = smallest m such that c(m,n) = max_k=0,1...,m c(m,k). A309237

p-INVERT of (1,0,0,1,0,0,1,0,0,...), where p(S) = (1 - S)². A289919

Number of partitions in parts not of the form 19k, 19k+3 or 19k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 8 are greater than 1. A35972

Number of compositions (ordered partitions) of n into distinct parts >= 2. A32022

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)ⁿ⁺⁵)ⁿ⁺¹ for n >= 0. A360237

Number of partitions of 2²^n into powers of 2 less than or equal to 2ⁿ. A182135