Properties of the Number 13917

Thirteen Thousand Nine Hundred Seventeen

Basics

Value: 13916 → 13917 → 13918

Parity: odd

Prime: No

Previous Prime: 13913

Next Prime: 13921

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 4639

Divisors: 1, 3, 4639, 13917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011001011101

Octal: 33135

Duodecimal: 8079

Hexadecimal: 365d

Square: 193682889

Square Root: 117.9703352542494

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) = a(n-1) + a(n-6), with a(i) = 1 for i = 0..5. A5708

T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252558

Triangle T(n, k, j) = T(n-1, k, j) + T(n-1, k-1, j) + (2·j + 1)*prime(j)*T(n-2, k-1, j) with T(2, k, j) = prime(j) and j = 9, read by rows. A153654

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253350

(6n+5)-th terms of expansion of 1/(1 - x - x⁶). A99242

Numbers k such that k!/k# + 1 is prime, where k# is the primorial function (A034386). A140294

Number of isomorphism classes of nanocones with 3 pentagons and a nearsymmetric boundary of length n. A198014

Composite numbers k such that k!/k# + 1 is prime, where k# = primorial numbers A034386. A49420

Expansion of 1/(1 - x⁶ - x⁷ - x⁸ - ...). A17900

a(n) = ∑_k=0..n binomial(n,k) * binomial(2·k,n-k). A385975