Properties of the Number 27638

Twenty-Seven Thousand Six Hundred Thirty-Eight

Basics

Value: 27637 → 27638 → 27639

Parity: even

Prime: No

Previous Prime: 27631

Next Prime: 27647

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 × 1063

Divisors: 1, 2, 13, 26, 1063, 2126, 13819, 27638

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110101111110110

Octal: 65766

Duodecimal: 13BB2

Hexadecimal: 6bf6

Square: 763859044

Square Root: 166.2468044805674

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

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 6, n >= 2. A214025

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 7, n >= 2. A214037

Consecutive states of the linear congruential pseudo-random number generator 171·s mod 30269 when started at s=1. A385031

The total length of the base n sequence when starting from 2 and creating the smallest unused prime number, when read in base n, by either removing or changing or adding a single digit, from 0 to n-1, anywhere in the base n value of the previous number. If the base n sequence does not terminate, a(n) = -1. A390366

Number of nX7 0..1 arrays with every element equal to 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A298176

Order of 2ⁿ X 2ⁿ unitary group H_n acting on Siegel modular forms. A27638

T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A298177

Number of permutations of length 2n which are invariant under the reverse-complement map and have no decreasing subsequences of length 6. A145846