Properties of the Number 14688

Fourteen Thousand Six Hundred Eighty-Eight

Basics

Value: 14687 → 14688 → 14689

Parity: even

Prime: No

Previous Prime: 14683

Next Prime: 14699

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100101100000

Octal: 34540

Duodecimal: 8600

Hexadecimal: 3960

Square: 215737344

Square Root: 121.19405926034493

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 divisors of n!. A27423

Penrice Christmas gift numbers, Card-matching numbers (Dinner-Diner matching numbers): Triangle T(n,k) = number of ways to get k matches for a deck with n cards, 2 of each kind. A59056

a(n) = n*(n+1)*(n+2)²/6. A4320

Expansion of (1-x)^-3 * (1-x²)^-2. A2624

a(n) = floor(n*(n-1)*(n-2)*(n-3)/5). A11915

L.g.f.: log( ∑_n>=0 x^n² ), the log of the characteristic function of the squares. A162552

Sum of all the parts in the partitions of n into 10 squarefree parts. A326627

Coefficients of Chebyshev polynomials. A5583

Length of one version of Kolakoski sequence {A000002(i)} at n-th growth stage. A1083

a(n) = 3*(4·n+2)!/(3·n+3)!. A370057