Properties of the Number 32968

Thirty-Two Thousand Nine Hundred Sixty-Eight

Basics

Value: 32967 → 32968 → 32969

Parity: even

Prime: No

Previous Prime: 32957

Next Prime: 32969

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 13 × 317

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 317, 634

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000000011001000

Octal: 100310

Duodecimal: 170B4

Hexadecimal: 80c8

Square: 1086889024

Square Root: 181.57092278225608

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 having depth 2; see Comments. A237750

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and Hilbert 3-class field tower of exact length 2. A242864

Number of rooted trees with n nodes such that no more than ten subtrees of the same size extend from the same node. A318804

Number of rooted trees with n nodes such that no more than ten isomorphic subtrees extend from the same node. A318857

a(n) = 25·n³ - n*(5·n+1)/2 + 1. A167467

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and 3-principalization type (4224). A247690

Numbers that can be written as (k + sum of digits of k) for some k, then as (m + product of digits of m) for some m, also as (q·product of digits of q) for some q, and finally as (t·sum of digits of t) for some t. A337839

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) whose second 3-class group is located on the sporadic part of the coclass graph G(3,2) outside of coclass trees. A247691

Number of plane trees of total weight n of combinatorial class T=Z·U + Z·T²/(1-T) with nodes Z of weight one and leaves U of weight three. A331106

Numbers with the property that all pairs of consecutive base-5 digits differ by more than 1. A32968