Properties of the Number 27675

Twenty-Seven Thousand Six Hundred Seventy-Five

Basics

Value: 27674 → 27675 → 27676

Parity: odd

Prime: No

Previous Prime: 27673

Next Prime: 27689

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 ² × 41

Divisors: 1, 3, 5, 9, 15, 25, 27, 41, 45, 75

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000011011

Octal: 66033

Duodecimal: 14023

Hexadecimal: 6c1b

Square: 765905625

Square Root: 166.35804759614126

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

Number of partitions of n into aliquant parts (i.e., parts that do not divide n). A98743

Numbers n such that n!10 + 2 is prime. A204657

Exponential generating function A(x) is the unique solution of the Cauchy problem: A'(x) = exp(x+A(x)²-1), A(0) = 1. A209305

Numbers n such that n and n+1 both have 24 divisors. A274362

(1/4)*number of nonsquare rectangles with corners on an n X n grid of points. A122225

The Wiener index of the Dutch windmill graph D(6,n) (n>=1). A180578

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 417", based on the 5-celled von Neumann neighborhood. A272018

Numbers k such that A384247(k) = A384247(k+1). A385743

G.f. satisfies A(x) = ∑_n>=0 xⁿ * ∏_k=0..n (1 + a(1)*x + a(2)*x² + a(3)*x³ + ... + a(k)*x^k). A385906

Least numbers k that can be expressed as k = a' + b', with k = a + b, in exactly n ways, where a' and b' are the arithmetic derivatives of a and b. A292362