Properties of the Number 27724

Twenty-Seven Thousand Seven Hundred Twenty-Four

Basics

Value: 27723 → 27724 → 27725

Parity: even

Prime: No

Previous Prime: 27701

Next Prime: 27733

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 29 × 239

Divisors: 1, 2, 4, 29, 58, 116, 239, 478, 956, 6931

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001001100

Octal: 66114

Duodecimal: 14064

Hexadecimal: 6c4c

Square: 768620176

Square Root: 166.50525517232182

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 permutations of {1..n} with fewer than k interior elements having values lying between the values of their neighbors. A226441

Indices of 0 in A348295: numbers m such that ∑_k=1..m (-1)^{floor(k*(sqrt(2}-1))) = ∑_k=1..m (-1)^A097508(k) = 0. A348299

Base-9 palindromes that start with 4. A43031

Number of permutations of {1..n} with fewer than 3 interior elements having values lying between the values of their neighbors. A226436

Number of nX7 0..1 arrays with every element equal to 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. A298145

Partial sums of A072857. A173052

a(n) is the number of integer partitions of n for which the rank is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. A318205

Number of paths from (0, 0) to (2n, 2n) in an n X n grid using only steps north, northeast and east (i.e., steps (1, 0), (1, 1), and (0, 1)) and that do not pass through diagonal points with odd coordinates. A370498

T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. A298146

Numbers k such that (k+j) mod (2+j) = 1 for j from 0 to 10 and (k+11) mod 13 <> 1. A96027