Properties of the Number 82984

Eighty-Two Thousand Nine Hundred Eighty-Four

Basics

Value: 82983 → 82984 → 82985

Parity: even

Prime: No

Previous Prime: 82981

Next Prime: 82997

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 11 × 23 × 41

Divisors: 1, 2, 4, 8, 11, 22, 23, 41, 44, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010000101000

Octal: 242050

Duodecimal: 40034

Hexadecimal: 14428

Square: 6886344256

Square Root: 288.06943607401325

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 shapes of height-balanced AVL trees with n nodes. A6265

Number of shapes of height-balanced AVL trees of height at most 6 with n nodes. A134306

Number of 3-step knight's tours on an (n+2) X (n+2) board summed over all starting positions. A186852

Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 or 00000101. A259765

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000101. A259770

Numbers k for which the 3x+1 problem takes at least k halving and tripling steps to reach 1. A82984

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