Properties of the Number 10532

Ten Thousand Five Hundred Thirty-Two

Basics

Value: 10531 → 10532 → 10533

Parity: even

Prime: No

Previous Prime: 10531

Next Prime: 10559

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 2633

Divisors: 1, 2, 4, 2633, 5266, 10532

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100100100

Octal: 24444

Duodecimal: 6118

Hexadecimal: 2924

Square: 110923024

Square Root: 102.62553288534

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) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime. A101042

Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(2,5) = cn(3,5) < cn(0,5). A36887

A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime. A101043

Constant term of the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192956

[ (4th elementary symmetric function of S(n))/(2nd elementary symmetric of S(n)) ], where S(n) = {3,4, ..., n+5}. A24194

Dimension of the space of weight n cuspidal newforms for Gamma₁( 97 ). A63370

G.f. satisfies: A(x) = exp( ∑_n>=1 A(xⁿ)/(1-x)ⁿ * xⁿ/n ). A199104

a(n) is the number of subsets of {1, 2, ..., n} with product of all entries <= n² + n. A298880

a(n) = A330575(A025487(n)). A333962

Numbers whose maximal base-8 run length is 4. A37995