Properties of the Number 13015

Thirteen Thousand Fifteen

Basics

Value: 13014 → 13015 → 13016

Parity: odd

Prime: No

Previous Prime: 13009

Next Prime: 13033

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 19 × 137

Divisors: 1, 5, 19, 95, 137, 685, 2603, 13015

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011010111

Octal: 31327

Duodecimal: 7647

Hexadecimal: 32d7

Square: 169390225

Square Root: 114.08330289748802

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

a(n) = n*(2·n² - 2·n + 1). A59722

Number of paraffins. A5997

a(n) = ceiling(n/2)*ceiling(n²/2). A131474

T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252820

Expansion of (1 - x - x² - sqrt(1 - 2·x - 5·x² - 2·x³ + x⁴)) / (2·x + 2·x²). A78481

Triangle read by rows: T(n,k) is number of Dyck paths of semilength n and having k UDUD's (here U=(1,1), D=(1,-1)). A94507

McKay-Thompson series of class 6A for Monster. A7254

dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5). A26063

McKay-Thompson series of class 6A for Monster. A45484

Riordan array (1/((1-x)(1-3x)),x/((1-x)(1-3x))). A116414