Properties of the Number 13715

Thirteen Thousand Seven Hundred Fifteen

Basics

Value: 13714 → 13715 → 13716

Parity: odd

Prime: No

Previous Prime: 13711

Next Prime: 13721

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 13 × 211

Divisors: 1, 5, 13, 65, 211, 1055, 2743, 13715

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110010011

Octal: 32623

Duodecimal: 7B2B

Hexadecimal: 3593

Square: 188101225

Square Root: 117.11105840184351

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 (∏_j>=1 (1-(-x)^j) - 1)¹³ in powers of x. A47638

Generalized Pascal Triangle - satisfying the same recurrence as Pascal's triangle, but with a(n,0)=1 and a(n,n)=10ⁿ (instead of both being 1). A164844

T(n,k) = Number of n X k 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 2,4,3,0,1 for x=0,1,2,3,4. A196786

Triangle read by rows: T(n,k) (0 <= k <= n) is the number of partitions of (n,k) into a sum of pairs. A201376

Number of bipartite partitions of n white objects and 8 black ones. A2757

Number of bipartite partitions of n white objects and 9 black ones. A2758

Partial sums of A014824. A52262

Number of bipartite partitions of ceiling(n/2) white objects and floor(n/2) black ones. A91437

a(n) = 81·n² + 2·n. A177099

a(n) = A273059(4n+1). A275917