Properties of the Number 27311

Twenty-Seven Thousand Three Hundred Eleven

Basics

Value: 27310 → 27311 → 27312

Parity: odd

Prime: No

Previous Prime: 27299

Next Prime: 27329

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 31 × 881

Divisors: 1, 31, 881, 27311

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010101111

Octal: 65257

Duodecimal: 1397B

Hexadecimal: 6aaf

Square: 745890721

Square Root: 165.26040058041733

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(1) = 3; for n>0, a(n+1) = a(n) + floor((a(n)-1)/2). A3312

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

Squarefree conductors of quintic fields. A85715

a(n) = (5/6)*n³+(5/2)*n²+(8/3)*n. A92185

Numbers k such that k^p-p is prime, where p is product of the digits of k. A178328

Pisot sequences L(6,15), S(6,15). A277089

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 3X2 zee 1,1 1,2 1,3 2,3 2,4 in any orientation. A146133

a(n) = ∑_k=0..n-1 T(n,k) * T(n,k+3), with T given by A026323. A27311