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Properties of the Number 9527

Nine Thousand Five Hundred Twenty-Seven

Basics

Value: 9526 → 9527 → 9528

Parity: odd

Prime: No

Previous Prime: 9521

Next Prime: 9533

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 1361

Divisors: 1, 7, 1361, 9527

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10010100110111

Octal: 22467

Duodecimal: 561B

Hexadecimal: 2537

Square: 90763729

Square Root: 97.60635225229964

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 parts each of which is used a different number of times. A98859
Number of integer partitions of n whose multiset of multiplicities has integer mean. A360069
Numerators of convergents of the continued fraction with the n+1 partial quotients: [1;1,1,...(n 1's)...,1,n+1], starting with [1], [1;2], [1;1,3], [1;1,1,4], ... A88209
Construct sequences P,Q,R by the rules: Q = first differences of P, R = second differences of P, P starts with 1,5,11, Q starts with 4,6, R starts with 2; at each stage the smallest number not yet present in P,Q,R is appended to R; every number appears exactly once in the union of P,Q,R. Sequence gives P. A225376
Number of integer partitions of n whose multiplicities appear with distinct multiplicities. A325329
a(1) = a(2) = 1; for n > 2, a(n+2) = ∑d∣n τ(n/d)*a(d), where τ = number of divisors (A000005). A319133
Number of integer partitions of n not containing more ones than any other part. A381544
Numerators of continued fraction convergents to sqrt(767). A42478
G.f.: A(x) = x/SeriesReversion(x·G(x)) where G(x) = ∑n>=0 (n+1)n-1*xn. A180747
Number of partitions p of n such that (number of numbers in p having multiplicity > 1) = number of 1s in p. A241090