Properties of the Number 83072

Eighty-Three Thousand Seventy-Two

Basics

Value: 83071 → 83072 → 83073

Parity: even

Prime: No

Previous Prime: 83071

Next Prime: 83077

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁷ × 11 × 59

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 59

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010010000000

Octal: 242200

Duodecimal: 400A8

Hexadecimal: 14480

Square: 6900957184

Square Root: 288.22213655442914

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

First column and main diagonal of triangle A092686, in which the convolution of each row with {1,2} produces a triangle that, when flattened, equals the flattened form of A092686. A92687

Smallest k such that k and k+n have the same prime signature that is different from all previous terms. A85876

E.g.f.: ∑_n>=0 2^n² * (1+x)^2ⁿ * xⁿ / n!. A326084

Number of n-faced simplicial decompositions on a cylinder. A169895

A subdiagonal of number array A083064. A83072

G.f. A(x) satisfies: [xⁿ] A_n(x) = [xⁿ] A_n+1(x) for n>2 where A_n+1(x) = A_n(A(x)) denotes iteration with A₀(x)=x. A177776

G.f. A(x) satisfies: 1 + 4x = ∑_n>=0 xⁿ * [yⁿ] A(y)^2ⁿ, so that the coefficient of yⁿ in the (2ⁿ)-th power of A(y) is zero for n>1. A136639