Properties of the Number 84091

Eighty-Four Thousand Ninety-One

Basics

Value: 84090 → 84091 → 84092

Parity: odd

Prime: No

Previous Prime: 84089

Next Prime: 84121

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 41 × 293

Divisors: 1, 7, 41, 287, 293, 2051, 12013, 84091

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100001111011

Octal: 244173

Duodecimal: 407B7

Hexadecimal: 1487b

Square: 7071296281

Square Root: 289.9844823434523

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 cycle-up-down permutations of {1,2,...,n} having no fixed points. A permutation is said to be cycle-up-down if it is a product of up-down cycles. A cycle (b(1), b(2), ...) is said to be up-down if, when written with its smallest element in the first position, it satisfies b(1)<b(2)>b(3)<... . A186364

Main diagonal of Ludic array A255127 (and A255129): a(n) = A255127(n,n). A255410

Composite squarefree numbers n such that p(i)-5 divides n+5, where p(i) are the prime factors of n. A225705

Triangle read by rows: T(n,k) is the number of cycle-up-down permutations of {1,2,...,n} having k fixed points (0 <= k <= n). A permutation is said to be cycle-up-down if it is a product of up-down cycles. A cycle (b(1), b(2), ...) is said to be up-down if, when written with its smallest element in the first position, it satisfies b(1) < b(2) > b(3) < ... . A186363

Expansion of ∑_k>=0 x²^k/(1+x²^k+x²^k+1). A84091