Properties of the Number 27254

Twenty-Seven Thousand Two Hundred Fifty-Four

Basics

Value: 27253 → 27254 → 27255

Parity: even

Prime: No

Previous Prime: 27253

Next Prime: 27259

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 13627

Divisors: 1, 2, 13627, 27254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101001110110

Octal: 65166

Duodecimal: 13932

Hexadecimal: 6a76

Square: 742780516

Square Root: 165.08785539826968

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

Total number of parts in all partitions of n with at least one distinct part. A220477

Number of minimum sized maximal subsets of {1..n} such that every pair of distinct elements has a different difference. A382396

Number of nX1 1..7 arrays with every element value z a city block distance of exactly z from another element value z. A209212

G.f.: A(x,y) = exp( ∑_n>=1 [∑_k=0..n C(n,k)⁴*y^k] * xⁿ/n ) = ∑_n>=0,k=0..n T(n,k)*xⁿ*y^k, as a triangle of coefficients T(n,k) read by rows. A181144

a(n) = ∑_k=1..n-2 T(n,k) * T(n,k+2), with T given by A026703. A27254

Number of n X 3 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280280