Properties of the Number 10522

Ten Thousand Five Hundred Twenty-Two

Basics

Value: 10521 → 10522 → 10523

Parity: even

Prime: No

Previous Prime: 10513

Next Prime: 10529

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5261

Divisors: 1, 2, 5261, 10522

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100011010

Octal: 24432

Duodecimal: 610A

Hexadecimal: 291a

Square: 110712484

Square Root: 102.57680049601859

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

Expansion of 1/(1 - x + x² - x³ - x⁶ - x⁹ + x¹⁰ - x¹¹ + x¹²). A225499

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

Numbers that are the sum of five third powers in ten or more ways. A345187

Numbers that are the sum of five third powers in exactly ten ways. A345188

Number of partitions of n such that the number of parts having multiplicity 1 is not a part and the number of distinct parts is a part. A241443

A generalized Deutsch triangle. A188474

G.f. A(x) satisfies A(x) = 1 + ∑_n>=1 A(x)ⁿ * 2·x^2·n-1/(1 - 2·x^2·n-1). A192402

Number of arrays of median of three adjacent elements of some length-5 0..n array, with no adjacent equal elements in the latter. A229013

Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 8. A245148

a(n) = ∑_i=0..n i²*T(i)², where T(i) = A000073(i) is the i-th tribonacci number. A337286