Properties of the Number 27459

Twenty-Seven Thousand Four Hundred Fifty-Nine

Basics

Value: 27458 → 27459 → 27460

Parity: odd

Prime: No

Previous Prime: 27457

Next Prime: 27479

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 113

Divisors: 1, 3, 9, 27, 81, 113, 243, 339, 1017, 3051

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101101000011

Octal: 65503

Duodecimal: 13A83

Hexadecimal: 6b43

Square: 753996681

Square Root: 165.70757375569772

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) = (1 - 2·cos(π/9))ⁿ + (1 + 2·cos(π*2/9))ⁿ + (1 + 2·cos(π*4/9))ⁿ. A62882

a(n) = n²*(n² + 15)/4. A159833

Number of partitions of 0 of the form [x(1)+x(2)+...+x (j)] - [y(1)+y(2)+...+y(k)] where the x(i) are distinct positive integers <=n and the y(i) are distinct positive integers <= n. A209535

Terms of A046337 for which A358777 is zero, where the latter is the Dirichlet inverse of former's characteristic function. A359607

Maximum number of points visible from some point in a cubic n·n x n lattice. A141227

Numerator of ∑_k=1..n H(k)/k, where H(k) is k-th harmonic number. A27459

Number of partitions of the vertices of the n X 3 grid graph into dominating sets. A391827

Number of defective parking functions of length n and defect ten. A291136

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303509