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Properties of the Number 27752

Twenty-Seven Thousand Seven Hundred Fifty-Two

Basics

Value: 27751 → 27752 → 27753

Parity: even

Prime: No

Previous Prime: 27751

Next Prime: 27763

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 3 × 3469

Divisors: 1, 2, 4, 8, 3469, 6938, 13876, 27752

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110001101000

Octal: 66150

Duodecimal: 14088

Hexadecimal: 6c68

Square: 770173504

Square Root: 166.5893153836704

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

Number of integer partitions of n without choosable initial intervals. A387118
a(n) = 841·n - 1. A158402
Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 7. A240016
[ 4th elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n. A25195
Numbers k such that 2·10k + 7·Rk is prime, where Rk = 11...1 is the repunit (A002275) of length k. A56702
Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 83. A31581
Triangle of characteristic polynomials, see Mathematica code. A158391
T(n,k) = Number of lower triangles of an n X n integer array with each element differing from all of its vertical and horizontal neighbors by k or less and triangles differing by a constant counted only once. A195278
Numbers k such that k2 + k + 3 is prime. A27752
Number of permutations of [n] with exactly 3 descents which avoid the pattern 4321. A95889