Properties of the Number 10526

Ten Thousand Five Hundred Twenty-Six

Basics

Value: 10525 → 10526 → 10527

Parity: even

Prime: No

Previous Prime: 10513

Next Prime: 10529

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 19 × 277

Divisors: 1, 2, 19, 38, 277, 554, 5263, 10526

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100011110

Octal: 24436

Duodecimal: 6112

Hexadecimal: 291e

Square: 110796676

Square Root: 102.59629622944485

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 odd-length integer partitions of n with integer alternating product. A347444

T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302081

Least sum of 3 distinct nonzero squares in exactly n ways. A25415

An Ulam-type sequence: a(n) = n if n<=10; for n>10, a(n) = least number > a(n-1) which is a unique sum of 10 distinct earlier terms. A183533

Expansion of e.g.f. exp( x/(1-x)³ ) / (1-x). A361599

a(n) = ∑_{x₁∣n, x₂∣n, x₃∣n, x₄∣n, x₅∣n} gcd(x₁,x₂,x₃,x₄,x₅). A344139

Number of nonnegative solutions to x³ + y³ + z³ <= n³. A224215

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_j=0..n binomial(n+(k-1)*j,k·j)/j!. A361600

Number of Motzkin excursions of length n with an even number of humps and an odd number of peaks. A325926

Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-11). A23441