Properties of the Number 10415

Ten Thousand Four Hundred Fifteen

Basics

Value: 10414 → 10415 → 10416

Parity: odd

Prime: No

Previous Prime: 10399

Next Prime: 10427

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 2083

Divisors: 1, 5, 2083, 10415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010101111

Octal: 24257

Duodecimal: 603B

Hexadecimal: 28af

Square: 108472225

Square Root: 102.05390732353172

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

Numbers that are equal to the sum of the number of divisors of their k first powers, for some k. A270389

Number of Motzkin paths of length n having no consecutive (1,0) steps. A104545

a(n) = n² + a(n-1), with a(1)=0. A168559

Expansion of g.f.: (1-2·x-sqrt(1-4·x+8·x³-4·x⁴))/(2·x²*(1-x)). A135052

Numerators of continued fraction convergents to sqrt(7)/2. A294972

T(2n+5,n), where T is the array in A055830. A55839

a(n) = 4·n³ - 3·n² + 2·n - 1. A131464

Riordan array ( (1+x)/(1-x-x²), x·A000108(x) ). A185675

a(n) = 6·n² + 8·n + 1. A239325