Properties of the Number 18526

Eighteen Thousand Five Hundred Twenty-Six

Basics

Value: 18525 → 18526 → 18527

Parity: even

Prime: No

Previous Prime: 18523

Next Prime: 18539

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 59 × 157

Divisors: 1, 2, 59, 118, 157, 314, 9263, 18526

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100001011110

Octal: 44136

Duodecimal: A87A

Hexadecimal: 485e

Square: 343212676

Square Root: 136.11024943037904

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253495

a(n) = numerator of the X-coordinate of n·P where P is the generator [0,0] for rational points on the curve y² + y = x³ - x. A28940

a(n) = (3·n+1)*(4·n+1). A33577

Expansion of η(q⁶) * η(q¹⁰) / (η(q) * η(q¹⁵)) in powers of q. A94023

Array read by antidiagonals: T(n,k) is the number of chiral pairs of color patterns (set partitions) in a cycle of length n using k or fewer colors (subsets). A320742

a(n) = 25·n*(n + 1)/2 + 1. A262221

Least k such that gcd(prime(k)+1, prime(k+1)+1) = 2n. A67603

Expansion of q * (χ(-q³) * χ(-q⁵)) / (χ(-q) * χ(-q¹⁵))² in powers of q where χ() is a Ramanujan θ function. A123630

Where records occur in A047160. A155765

Numerator of x-coordinate of (2n)*P where P is the generator for rational points on the curve y² + y = x³ - x. A28936