Properties of the Number 10515

Ten Thousand Five Hundred Fifteen

Basics

Value: 10514 → 10515 → 10516

Parity: odd

Prime: No

Previous Prime: 10513

Next Prime: 10529

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 701

Divisors: 1, 3, 5, 15, 701, 2103, 3505, 10515

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100010011

Octal: 24423

Duodecimal: 6103

Hexadecimal: 2913

Square: 110565225

Square Root: 102.5426740435415

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

Total number of positive integers below 10ⁿ requiring 8 positive biquadrates in their representation as sum of biquadrates. A186661

Expansion of exp( ∑_{n >= 1} A000364(n)*xⁿ/n ). A255881

Number of planted identity trees where non-root, non-leaf nodes an even distance from root are of degree 2. A7560

Integers that need 10 iterations of the map x->A352172(x) to reach 1. A352268

Number of partitions of n such that (greatest part) - (least part) > number of parts. A237833

Numbers that are the sum of ten fourth powers in ten or more ways. A345603

Numbers that are the sum of ten fourth powers in exactly ten ways. A345862

Rectangular array A(n, k) = hypergeom([-k, k + n/2 - 1], [1], -4) with row n >= 0 and k >= 0, read by ascending antidiagonals. A300945

Number of triangular regions in an equilateral triangular "frame" of size n (see Comments in A328526 for definition). A333032

a(n) = 1 + 2·n + 2²*n*[n/2] + 2³*n*[n/2]*[n/3] + 2⁴*n*[n/2]*[n/3]*[n/4] + ... where [x]=floor(x). A208060

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