Properties of the Number 10015

Ten Thousand Fifteen

Basics

Value: 10014 → 10015 → 10016

Parity: odd

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 5 × 2003

Divisors: 1, 5, 2003, 10015

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100011111

Octal: 23437

Duodecimal: 5967

Hexadecimal: 271f

Square: 100300225

Square Root: 100.07497189607399

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

Dispersion of A008851, (numbers >1 and congruent to 0 or 1 mod 5), by antidiagonals. A191722

a(n) = ∑_k=1..n k*σ(k). A143128

a(n) = 10ⁿ+2ⁿ-1. A155594

Absolute discriminants of complex quadratic fields with 3-class rank 2. A242862

Numbers k such that k and k² use only the digits 0, 1, 2, 3 and 5. A136811

Triangle, read by rows of n*(n+1)/2 terms, where row n equals the coefficients in the series reversion of the function G(x,n)-1 such that: x = ∑_m>=1 1/G(x,n)^n·m * ∏_k=1..m (1 - 1/G(x,n)^k), for n>=1. A214670

a(n) = A239460(n) / n². A239463

Partial sums of A224613. A365446

Relative of Hofstadter Q-sequence: a(n) = max(0, n+10000) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0. A283889

Relative of Hofstadter Q-sequence: a(n) = max(0, n+10001) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0. A283890