Properties of the Number 13717

Thirteen Thousand Seven Hundred Seventeen

Basics

Value: 13716 → 13717 → 13718

Parity: odd

Prime: No

Previous Prime: 13711

Next Prime: 13721

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 11 × 29 × 43

Divisors: 1, 11, 29, 43, 319, 473, 1247, 13717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110010101

Octal: 32625

Duodecimal: 7B31

Hexadecimal: 3595

Square: 188156089

Square Root: 117.11959699384215

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

Sum of the sizes of the Durfee squares of all partitions of n. A115995

Numbers k such that k¹⁶ == 1 (mod 17³). A56088

Numbers k such that k¹⁸ == 1 (mod 19³). A56089

Number of vertices formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts. A355949

(A178476(n)-3)/9. A178486

a(n) is the smallest k such that prime(k+i) = 1 (mod 6) for i = 0, 1,...,n-1. A247816

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, x₂, x₃, n)³. A372928

Numbers k that divide 2^k+3 - 1. A69927

Index of the first prime which starts a run of n consecutive primes all congruent to each other mod 3 (or mod 6). A276414

a(n) = ∑_k=0..n floor(sqrt(k))⁴. A363498