Properties of the Number 27308

Twenty-Seven Thousand Three Hundred Eight

Basics

Value: 27307 → 27308 → 27309

Parity: even

Prime: No

Previous Prime: 27299

Next Prime: 27329

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 6827

Divisors: 1, 2, 4, 6827, 13654, 27308

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010101100

Octal: 65254

Duodecimal: 13978

Hexadecimal: 6aac

Square: 745726864

Square Root: 165.2513237465891

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

Partitioning integers to avoid arithmetic progressions of length 3. A6999

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

a(0)=2, a(1)=8, a(n) = a(n-1) + 2·a(n-2). A115102

Smallest index at which A242018 contains a run of n consecutive 1s. A242020

Total number of binary digits in the partitions of n into odd parts. A319142

G.f. A(x) satisfies: A(x) = 1 + x + x² * A(x) / (1 - x) + x² * A(x)². A349014

a(n) = 4·a(n-1) - 4 for n>0, a(0)=3. A135583

Number of binary strings of length n with no substrings equal to 0001 or 1100. A164400

Number of (n+2) X (2+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3. A258960

a(n) is the index of the first occurrence of the Euclidean distance prime(n) from a point on a square spiral to its starting point at 1. A336335