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Properties of the Number 16687

Sixteen Thousand Six Hundred Eighty-Seven

Basics

Value: 16686 → 16687 → 16688

Parity: odd

Prime: No

Previous Prime: 16673

Next Prime: 16691

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 11 × 37 × 41

Divisors: 1, 11, 37, 41, 407, 451, 1517, 16687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 100000100101111

Octal: 40457

Duodecimal: 97A7

Hexadecimal: 412f

Square: 278455969

Square Root: 129.17817153064212

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) = n·a(n-1) + (n-1)*a(n-2), a(0) = 1, a(1) = 1. A255
a(1)=a(2)=a(3)=1, a(4)=3; thereafter a(n) = a(n-1) + a(n-3). A179070
Triangle read by rows: T(n,k) is the number of permutations of [n] having k consecutive ascending pairs (0 <= k <= n-1). A10027
Triangular array formed from successive differences of factorial numbers. A47920
Numerator of ∑k=0..n (-1)k/k!. A53557
a(n) = Fibonacci(n+1) - 2floor(n/2). A5672
Euler's difference table: triangle read by rows, formed by starting with factorial numbers (A000142) and repeatedly taking differences. T(n,n) = n!, T(n,k) = T(n,k+1) - T(n-1,k). A68106
Triangle T(n, k), read by row, related to Euler's difference table A068106 (divide column k of A068106 by k!). A86764
Triangle read by rows: T(n,k) is the number of permutations of [n] having k small descents (n >= 1; 0 <= k <= n-1). A small descent in a permutation (x1,x2,...,xn) is a position i such that xi - xi+1 = 1. A123513
Number of integer compositions of n that are the first sums of more than one nonnegative sequence. A391682