Properties of the Number 13668

Thirteen Thousand Six Hundred Sixty-Eight

Basics

Value: 13667 → 13668 → 13669

Parity: even

Prime: No

Previous Prime: 13649

Next Prime: 13669

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 17 × 67

Divisors: 1, 2, 3, 4, 6, 12, 17, 34, 51, 67

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101100100

Octal: 32544

Duodecimal: 7AB0

Hexadecimal: 3564

Square: 186814224

Square Root: 116.91022196540386

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

Six times hexagonal numbers: 6·n*(2·n-1). A152746

Number of ways to place 2 nonattacking knights on an n X n board. A172132

a(n) is the determinant of the 3 X 3 matrix with entries the 9 consecutive primes starting with the n-th prime. A117330

Expansion of ∑_k>0 x^4·k/(1-x^k)⁴. A363611

Expansion of ∑_k>0 x^4·k/(1+x^k)⁴. A363616

Maximum value taken on by f(P) = ∑_i=1..n p(i)*p(n+1-i) as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...,n}. A87035

Number of composites removed in each step of the Sieve of Eratosthenes for 10⁷. A227155

Numbers equal to the sum of three oblong numbers in arithmetic progression. A292314

Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and permanent=trace. A211145

Positions of -2's in A346242. A354822