Properties of the Number 72981

Seventy-Two Thousand Nine Hundred Eighty-One

Basics

Value: 72980 → 72981 → 72982

Parity: odd

Prime: No

Previous Prime: 72977

Next Prime: 72997

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 17 × 53

Divisors: 1, 3, 9, 17, 27, 51, 53, 81, 153, 159

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100010101

Octal: 216425

Duodecimal: 36299

Hexadecimal: 11d15

Square: 5326226361

Square Root: 270.14995835646545

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

Concatenation of n³ and n². A239461

Odd numbers k for which gcd(A325977(k), A325978(k)) is equal to abs(A325978(k)). A325979

Expansion of (1-x)/(1-x+x²+x³). A78016

Expansion of (1-x)/(1 + x + x² - x³). A78046

a(n) = -(A(n) - A(n-1)) where A(n) = A057597(n+1), for n >= 0. A319200

Number of collections of nonempty multisets with a total of n objects of exactly three colors. A255943

Number of collections of nonempty multisets with a total of n+8 objects of exactly n colors. A255958

Numbers k such that σ(k²+1) is a perfect square. A67465

Numbers k that divide the (right) concatenation of all numbers <= k written in base 9 (most significant digit on left). A29454

A239461(n) / n². A239464