Properties of the Number 27152

Twenty-Seven Thousand One Hundred Fifty-Two

Basics

Value: 27151 → 27152 → 27153

Parity: even

Prime: No

Previous Prime: 27143

Next Prime: 27179

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 1697

Divisors: 1, 2, 4, 8, 16, 1697, 3394, 6788, 13576, 27152

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101000010000

Octal: 65020

Duodecimal: 13868

Hexadecimal: 6a10

Square: 737231104

Square Root: 164.77863939236784

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

Triangle read by rows: T(n,k) is one-half the number of permutations of length n with exactly n-k rising or falling successions, for n >= 1, 1 <= k <= n. T(1,1) = 1 by convention. A10028

Triangle, read by rows, given by the product R^-1·P³ using triangular matrices P=A113370, R=A113389. A114153

Triangle read by rows: T(n,k) = one-half number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1. T(1,0) = 1 by convention. A86856

Triangle, read by rows, equal to the matrix square of triangle A113389. Also given by the matrix product: R² = Q³*(P^-2)*Q, using triangular matrices P=A113370, Q=A113381 and R=A113389. A113392

Positions of zeros in A345055, which is the Dirichlet inverse of A011772. A345053

a(n) = ∑_k>=1 (4·k - 2)ⁿ / 2^k. A355219

Number of 1:3:sqrt(10) proportioned triangles on a (n+1) X (n+1) grid. A190102

Record values of A018799 (Smallest nonnegative integer m such that m! begins with n in base 10). A279089

Number of Dyck paths of semilength n with strongly unimodal peak heights such that neighboring peaks differ in height by exactly one and first and last peak are at height one. A371926

T(n,k) = Number of n X k binary matrices with no 2 X 2 circuit having pattern 0101 in any orientation. A181245