Properties of the Number 27758

Twenty-Seven Thousand Seven Hundred Fifty-Eight

Basics

Value: 27757 → 27758 → 27759

Parity: even

Prime: No

Previous Prime: 27751

Next Prime: 27763

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 13879

Divisors: 1, 2, 13879, 27758

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001101110

Octal: 66156

Duodecimal: 14092

Hexadecimal: 6c6e

Square: 770506564

Square Root: 166.6073227682385

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 non-quanimous subsets of {1..n}, meaning there is only one set partition with all equal block-sums. A371789

Indices of primes in A001644 (the Lucas 3-step numbers). A104576

G.f. satisfies A(x) = 1 + x * (1 + x)² * A(x * (1 + x)). A360887

The number of irreducible zero-sum subsets of T(n) = {-2·n+1, -2·n+3, ..., -3, -1, 1, 3, ..., 2·n-3, 2·n-1} that contain -2·n+1 but not 2·n-1. A390083

Graham-Sloane-type lower bound on the size of a ternary (n,3,5) constant-weight code. A30505

Alternating sum of the Fibonacci numbers multiplied by their (combinatorial) indices. A120940

Number of n-node unlabeled rooted trees with thickening limbs. A245152

Number of length n+4 0..5 arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two. A248984

Primes of the form k² + k + 9. A27758