Properties of the Number 71928

Seventy-One Thousand Nine Hundred Twenty-Eight

Basics

Value: 71927 → 71928 → 71929

Parity: even

Prime: No

Previous Prime: 71917

Next Prime: 71933

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ⁵ × 37

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100011111000

Octal: 214370

Duodecimal: 35760

Hexadecimal: 118f8

Square: 5173637184

Square Root: 268.19395966352414

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

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically. A207467

Triangle T(n,k) read by rows, arising in enumeration of catafusenes. A24462

Numbers k divisible by at least one nontrivial permutation (rearrangement) of the digits of k, excluding all permutations that result in digit loss. A90056

Number of partitions of 7n into exactly 4 parts. A256329

Dirichlet g.f.: ∏_k>=2 (1 + k^-s)^k⁴. A343324

Partial sums of n 3-spaced triangular numbers beginning with t(2), e.g., a(2) = t(2) + t(5) = 3 + 15 = 18. A85789

Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y>=3z. A212519

Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|=|y-z|+1. A212680

a(n) = 6·n²*(2·n + 1). A190705

Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically. A207465