Properties of the Number 72704

Seventy-Two Thousand Seven Hundred Four

Basics

Value: 72703 → 72704 → 72705

Parity: even

Prime: No

Previous Prime: 72701

Next Prime: 72707

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ¹⁰ × 71

Divisors: 1, 2, 4, 8, 16, 32, 64, 71, 128, 142

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110000000000

Octal: 216000

Duodecimal: 360A8

Hexadecimal: 11c00

Square: 5285871616

Square Root: 269.6367927416435

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

Matrix log of triangle A111835, which shifts columns left and up under matrix 8th power; these terms are the result of multiplying each element in row n and column k by (n-k)!. A111838

a(n) = 3·a(n-1) + a(n-2) with a(0)=2 and a(1)=5. A180148

Fixed-k dispersion for Q = 13: array D(g,h) (g, h >= 1), read by ascending antidiagonals. A120863

Numbers with 22 divisors. A137485

a(n+1) = (n+1)*a(n) + ∑_k=1..n-1 a(k)*a(n-k). A6014

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 421", based on the 5-celled von Neumann neighborhood. A288067

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 453", based on the 5-celled von Neumann neighborhood. A288368

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 462", based on the 5-celled von Neumann neighborhood. A288437

Expansion of e.g.f. tan(x)*tan(tanh(x)), even powers only. A9751

Triangle of number of weakly unimodal partitions/compositions of n into exactly k terms. A72704