Properties of the Number 72980

Seventy-Two Thousand Nine Hundred Eighty

Basics

Value: 72979 → 72980 → 72981

Parity: even

Prime: No

Previous Prime: 72977

Next Prime: 72997

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 41 × 89

Divisors: 1, 2, 4, 5, 10, 20, 41, 82, 89, 164

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100010100

Octal: 216424

Duodecimal: 36298

Hexadecimal: 11d14

Square: 5326080400

Square Root: 270.1481075262235

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 Dyck paths of semilength n with no peak at height 4. A59027

Smallest term in A005244 having exactly n distinct representations A005244(i)*A005244(j)-1. A139129

Number of 4 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281472

Numerator of b(n) = ∑_k'<=n 1/k', where k' denotes the squarefree numbers. A72980

Square array T(n,k), read by antidiagonals: T(n,2·k) = T(n,2·k-1)*n, T(n,2·k+1) = T(n,2·k)+n, T(n,0) = 1. A219605

Irregular triangle read by rows: T(n,k) is the number of distinct tilings by squares of an n X n square lattice that contain k nodes unconnected to any of their neighbors. A226997