Properties of the Number 8529

Eight Thousand Five Hundred Twenty-Nine

Basics

Value: 8528 → 8529 → 8530

Parity: odd

Prime: No

Previous Prime: 8527

Next Prime: 8537

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 2843

Divisors: 1, 3, 2843, 8529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101010001

Octal: 20521

Duodecimal: 4B29

Hexadecimal: 2151

Square: 72743841

Square Root: 92.35258523723091

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 semi-sums of strict integer partitions of n. A366741

Expansion of a modular function for Gamma₀(6). A2507

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique value such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 3. A50032

a(n) = a(n-1) + a(m) for n >= 3, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = 2. A50048

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 3. A50064

Expansion of f(-x⁴, -x¹⁶) / ψ(-x) in powers of·where ψ() is a Ramanujan θ function and f(, ) is Ramanujan's general θ function. A122130

A156348·A000010. A156834

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A317072

Constant term of the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192971

Irregular triangle read by rows: T(n,k) is the number of connected subsets of k edges (or polysticks) of the n-th Johnson solid, up to symmetries of that solid; 1 <= n <= 92, 1 <= k <= A242732(n). A384378