Properties of the Number 72988

Seventy-Two Thousand Nine Hundred Eighty-Eight

Basics

Value: 72987 → 72988 → 72989

Parity: even

Prime: No

Previous Prime: 72977

Next Prime: 72997

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 71 × 257

Divisors: 1, 2, 4, 71, 142, 257, 284, 514, 1028, 18247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001110100011100

Octal: 216434

Duodecimal: 362A4

Hexadecimal: 11d1c

Square: 5327248144

Square Root: 270.1629138131287

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

Number of partitions of n such that 2*(least part) < number of parts. A237758

G.f. satisfies A(x) = 1 + x·A(x) / (1 - x⁵*A(x)³). A365735

Coefficient of the highest power of q in the expansion of ν(0)=1, ν(1)=b and for n>=2, ν(n)=b*ν(n-1)+λ*(n-1)_q*ν(n-2) with (b,λ)=(3,1), where (n)_q=(1+q+...+q^n-1) and q is a root of unity. A72988