Properties of the Number 27085

Twenty-Seven Thousand Eighty-Five

Basics

Value: 27084 → 27085 → 27086

Parity: odd

Prime: No

Previous Prime: 27077

Next Prime: 27091

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 5417

Divisors: 1, 5, 5417, 27085

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111001101

Octal: 64715

Duodecimal: 13811

Hexadecimal: 69cd

Square: 733597225

Square Root: 164.57521077003062

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 T(n,k) of entries in the k-th blocks of all set partitions of [n] when blocks are ordered by increasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows. A319298

Triangle read by rows: T(n,k) (n>=1, 0<=k<n) is the number of permutations of n with maximal difference k between elements in the same cycle. A263757

Number of entries in the fifth blocks of all set partitions of [n] when blocks are ordered by increasing lengths. A332945

a(n+1) = ∑_{k = 0..floor(2·n/3)} a(k)*a(n-k) for n >= 0 with a(0) = 1. A30033

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11. A31599

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 313", based on the 5-celled von Neumann neighborhood. A271202

a(n) = A027082(n, n+3). A27085