Properties of the Number 27063

Twenty-Seven Thousand Sixty-Three

Basics

Value: 27062 → 27063 → 27064

Parity: odd

Prime: No

Previous Prime: 27061

Next Prime: 27067

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 31 × 97

Divisors: 1, 3, 9, 31, 93, 97, 279, 291, 873, 3007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100110110111

Octal: 64667

Duodecimal: 137B3

Hexadecimal: 69b7

Square: 732405969

Square Root: 164.50835845026234

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

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207068

Number of integer partitions of the n-th Fermi-Dirac prime into Fermi-Dirac primes. A316210

Number of n X 7 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207067

Number of 4Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207071

Numbers k such that the sum of the digits of k^σ(k) is divisible by k. A109658

a(n) = A027052(n, 2n-7). A27063

Expansion of g.f. A(x) = 1/F(oo,x) where F(oo,x) is the limit of the process F(n,x) = (F(n-1,x)^2ⁿ - 4ⁿ*xⁿ)^1/2ⁿ for n > 0, starting with F(0,x) = 1. A361769

Number of n X 5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1's. A297503