Properties of the Number 46872

Forty-Six Thousand Eight Hundred Seventy-Two

Basics

Value: 46871 → 46872 → 46873

Parity: even

Prime: No

Previous Prime: 46867

Next Prime: 46877

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 7 × 31

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011100011000

Octal: 133430

Duodecimal: 23160

Hexadecimal: b718

Square: 2196984384

Square Root: 216.4994226320246

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

Expansion of ∏_k>=1 (1 - x^k)¹². A735

T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three exactly once. A269276

T(j,k) are the numerators s in the representation R = s/t + (2·sqrt(3)/π)*u/v of the resistance between two nodes separated by the distance (j,k) in an infinite triangular lattice of one-ohm resistors, where T(j,k), j >= 0, 0 <= k <= floor(j/2) is an irregular triangle read by rows. A355585

Differences between two positive cubes in exactly 2 ways. A14440

Numbers that have exactly eight prime factors counted with multiplicity (A046310) whose digit reversal is different and also has 8 prime factors (with multiplicity). A109028

Numbers that are the sum of four third powers in eight or more ways. A345152

Difference between two positive cubes in more than one way. A34179

Numbers divisible by at least five of their digits, different and >1. A187533

Numbers n for which there exists k > n such that A000203(k) = A000203(n) and A007947(k) = A007947(n), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255334

Numbers that are the sum of four third powers in nine or more ways. A345146