Properties of the Number 27307

Twenty-Seven Thousand Three Hundred Seven

Basics

Value: 27306 → 27307 → 27308

Parity: odd

Prime: No

Previous Prime: 27299

Next Prime: 27329

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 47 × 83

Divisors: 1, 7, 47, 83, 329, 581, 3901, 27307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010101011

Octal: 65253

Duodecimal: 13977

Hexadecimal: 6aab

Square: 745672249

Square Root: 165.24829802451825

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

a(n) = a(n-1) + 2·a(n-2), a(0)=2, a(1)=3. A48573

a(n) = (5·4ⁿ + 1)/3. A136412

Poincaré series for invariant polynomial functions on the space of binary forms of degree 12. A293937

Numbers k such that A003313(k) = A003313(6·k). A116461

(L)-sieve transform of {1,4,7,10,...,3n-2,...} (A016777). A152009

Dispersion of A004767 (4k+3, k>=0), by antidiagonals. A191669

Number of achiral color patterns (set partitions) in a row or cycle of length n with 4 or fewer colors (subsets). A305750

Relative of Hofstadter Q-sequence: a(n) = max(0, n+27298) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283888

Odd 10-gonal (or decagonal) numbers. A28993

a(n) = (1 + 2ⁿ*(3 + 2*(-1)ⁿ))/3. A255138