Properties of the Number 72979

Seventy-Two Thousand Nine Hundred Seventy-Nine

Basics

Value: 72978 → 72979 → 72980

Parity: odd

Prime: No

Previous Prime: 72977

Next Prime: 72997

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 19 × 23 × 167

Divisors: 1, 19, 23, 167, 437, 3173, 3841, 72979

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100010011

Octal: 216423

Duodecimal: 36297

Hexadecimal: 11d13

Square: 5325934441

Square Root: 270.1462566833011

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

G.f. A(x) satisfies: A(x) = 1 + x + x³ * A(x/(1 - x)) / (1 - x). A346052

a(n) is the least number that starts an arithmetic progression of n consecutive lucky numbers. A330362

Array read by antidiagonals, n >= 2, m >= 0: T(n,m) is the smallest lucky number L(k) such that all n-th differences of (L(k), ..., L(k+n+m)) are zero, where L is A000959; T(n,m) = 0 if no such number exists. A350003

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 47 ones. A31815

Multiplicity of highest weight (or singular) vectors associated with character chi₃₁ of Monster module. A34419

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (1, 0, -1), (1, 1, 0), (1, 1, 1)}. A150943

a(n) = ∑_k=1..n-1 gcd(k,n)*a(k), a(1) = 1. A72979