Properties of the Number 27428

Twenty-Seven Thousand Four Hundred Twenty-Eight

Basics

Value: 27427 → 27428 → 27429

Parity: even

Prime: No

Previous Prime: 27427

Next Prime: 27431

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 6857

Divisors: 1, 2, 4, 6857, 13714, 27428

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101100100100

Octal: 65444

Duodecimal: 13A58

Hexadecimal: 6b24

Square: 752295184

Square Root: 165.61400906928134

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) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7. A5710

Standard composition numbers of compositions whose maximal runs all belong to {(1), (2,2), (3,3,3), ...}. A389530

Euler transform of A000579. A428

Expansion of ∏_k>=1 1/(1-x^k+3)^k. A263359

Triangle read by rows: row n gives the first n terms of the binomial transform of the n-th row of A116672. A289656

G.f. A(x) satisfies A(x) = 1 / (1 - x·A(x⁸)). A367800

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 1), (1, 1)}. A151465

Number of distinct products ij with 1 <= i < j <= n. (Number of terms appearing more than once in a 1-to-n multiplication table.) A27428