Properties of the Number 27248

Twenty-Seven Thousand Two Hundred Forty-Eight

Basics

Value: 27247 → 27248 → 27249

Parity: even

Prime: No

Previous Prime: 27241

Next Prime: 27253

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 13 × 131

Divisors: 1, 2, 4, 8, 13, 16, 26, 52, 104, 131

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101001110000

Octal: 65160

Duodecimal: 13928

Hexadecimal: 6a70

Square: 742453504

Square Root: 165.0696822557068

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

a(n) = number of solid (i.e., three-dimensional) partitions of n. A293

Number of ways to toss a coin n times and not get a run of six. A135493

Consider primitive pairs of integers (b, c) with b > 0 such that x⁵ + b·x + c = 0 is irreducible and solvable by radicals: sequence gives values of b. A371553

Number of 2 X 2 nonsingular matrices having all terms in {-n,...,0,...,n}. A211149

The number of conjugacy classes of n X n matrices over GF(2) which are squares of other such matrices. A274313

Expansion of ∏_{m >= 1} (1-m·q^m)¹⁶. A22676

G.f. A(x) satisfies: A(x) = 1 + x·A(x) / (1 - x) - x·A(x)². A349015

Number of collinear point 6-tuples in an n X n cubical grid. A178258

Number of right triangles on a (n+1)X8 grid. A189812

Fourier coefficients of the modular form (1/t_3A) * sqrt(1 - 108/t_3A) * F_3A¹⁸. A341562