Properties of the Number 9524

Nine Thousand Five Hundred Twenty-Four

Basics

Value: 9523 → 9524 → 9525

Parity: even

Prime: No

Previous Prime: 9521

Next Prime: 9533

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 2381

Divisors: 1, 2, 4, 2381, 4762, 9524

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100110100

Octal: 22464

Duodecimal: 5618

Hexadecimal: 2534

Square: 90706576

Square Root: 97.59098319004681

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

Numbers n such that there is no square n-gonal number greater than 1. A188896

a(n) = 8·n² + 8·n + 4. A108099

Numbers n such that the decimal number concat(7,n) is a square. A273362

Number of compositions (ordered partitions) of n into distinct parts, the least being 4. A339165

Numbers that are the sum of nine fourth powers in exactly seven ways. A345849

Number of circular permutations i₀, i₁, ..., i_n of 0, 1, ..., n such that all the n+1 numbers i₀²+i₁, i₁²+i₂, ..., i_n-1²+i_n, i_n²+i₀ are of the form (p-1)/2 with p an odd prime. A229082

Number of partitions of n into an odd number of parts, the least being 4; also, a(n+4) = number of partitions of n into an even number of parts, each >=4. A27190

Partial sums of ceiling(n²/4). A175287

Expansion of g.f. 1/ (1-x¹*(1-x^m+1)/ (1-x²*(1-x^m+2)/ (1- ... ))) for m=6. A228646

Number of 1342-avoiding odd Grassmannian permutations of size n. A361271