Properties of the Number 27305

Twenty-Seven Thousand Three Hundred Five

Basics

Value: 27304 → 27305 → 27306

Parity: odd

Prime: No

Previous Prime: 27299

Next Prime: 27329

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 43 × 127

Divisors: 1, 5, 43, 127, 215, 635, 5461, 27305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010101001

Octal: 65251

Duodecimal: 13975

Hexadecimal: 6aa9

Square: 745563025

Square Root: 165.24224641416615

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 steps required by the Hwang-Deutsch merging algorithm. A260795

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

Generalized Jacobsthal numbers. A84640

Inverse binomial transform of A140359. A140360

a(n) = 5*(4ⁿ⁺¹ - 1)/3. A146882

Binomial transform of A006497. A228569

Triangular matrix T, read by rows, that satisfies: T³ + 3T² + 3T = SHIFTUP(T), also Tⁿ⁺² + 3Tⁿ⁺¹ + 3Tⁿ = SHIFTUP(Tⁿ - D·T^n-1) for all n, where D is a diagonal matrix with diagonal(D) = diagonal(T) = {1,2,3,...}. A103237

Odd numbers k such that A292270((k-1)/2) is a square < ((k-1)/2)². A292379

Divisors of 2²⁸ - 1. A3536

Indices of primes in sequence defined by A(0) = 43, A(n) = 10·A(n-1) + 53 for n > 0. A101735