Properties of the Number 8502

Eight Thousand Five Hundred Two

Basics

Value: 8501 → 8502 → 8503

Parity: even

Prime: No

Previous Prime: 8501

Next Prime: 8513

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 13 × 109

Divisors: 1, 2, 3, 6, 13, 26, 39, 78, 109, 218

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100110110

Octal: 20466

Duodecimal: 4B06

Hexadecimal: 2136

Square: 72284004

Square Root: 92.2062904578641

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

G.f. satisfies: A(x) = 1/(1-x) * A(x²)*A(x³)*A(x⁴)*...*A(xⁿ)*... A129374

Second differences of Catalan numbers A000108. A26012

T(n, k) = S(2n, n, k) for 0<=k<=n and n>=0, where S(p, q, r) is the number of upright paths from (0, 0) to (p, p-q) that do not rise above the line y = x-r. A50157

a(n) = ceiling( ∑_i=1..n-1 a(i)/5 ), a(1)=1. A120170

Number of partitions of n into Fibonacci parts (with 2 types of 1). A7000

Abundant numbers that differ from the next abundant number by 3. A228382

The fourth left hand column of triangle A167552. A168302

Square spiral of sums of selected preceding terms, starting at 1 (a spiral Fibonacci-like sequence). A94768

Expansion of f(-x³)³ / (f(-x²) * f(-x⁴)²) in powers of·where f() is a Ramanujan θ function. A262150

Expansion of ∏_k>=1 ((1 + (2^k*x)^k)/(1 - (2^k*x)^k))^{1/2^k}. A303440