Properties of the Number 13692

Thirteen Thousand Six Hundred Ninety-Two

Basics

Value: 13691 → 13692 → 13693

Parity: even

Prime: No

Previous Prime: 13691

Next Prime: 13693

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 × 163

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101111100

Octal: 32574

Duodecimal: 7B10

Hexadecimal: 357c

Square: 187470864

Square Root: 117.0128198104806

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

Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n² + 2. Also coordination sequence for f.c.c. or A₃ or D₃ lattice. A5901

Multiply by 1, add 1, multiply by 2, add 2, etc., starting with 0. A82458

a(n) = n! * ∑_k=0..n-2 1/k!. A38154

G.f. A(x) satisfies: x = ∑_n>=1 1/A(x)^8·n * ∏_k=1..n (1 - 1/A(x)^2·k-1). A214694

Triangle read by rows: T(n,k) is the number of 2-compositions of n having k columns with an even sum (0<=k<=floor(n/2)). A181327

Expansion of (16+24·x+2·x²)/(x-1)⁶. A190049

Number of integer partitions of n whose multiplicities appear with distinct multiplicities that cover an initial interval of positive integers. A325331

Averages of twin prime pairs that are sums of 4 consecutive averages of twin prime pairs. A160918

Least number·such that xⁿ has n digits equal to k. Case k=4. A285451

Positions of -2's in A346242. A354822