Properties of the Number 82971

Eighty-Two Thousand Nine Hundred Seventy-One

Basics

Value: 82970 → 82971 → 82972

Parity: odd

Prime: No

Previous Prime: 82963

Next Prime: 82981

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 439

Divisors: 1, 3, 7, 9, 21, 27, 63, 189, 439, 1317

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010000011011

Octal: 242033

Duodecimal: 40023

Hexadecimal: 1441b

Square: 6884186841

Square Root: 288.04687118592346

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

E.g.f. satisfies A(x) = exp(x·A(x)) / (1 - x)³. A377811

a(n) = ceiling(e^n*(1+sqrt(5)/2)). A140231

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), (0, 1, -1), (0, 1, 1), (1, 0, 0), (1, 1, 0)}. A151123

Number of permutations of {1,2,...,n} containing exactly 3 occurrences of the 132 pattern. A82971

Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7. A252239