Properties of the Number 6684

Six Thousand Six Hundred Eighty-Four

Basics

Value: 6683 → 6684 → 6685

Parity: even

Prime: No

Previous Prime: 6679

Next Prime: 6689

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 557

Divisors: 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000011100

Octal: 15034

Duodecimal: 3A50

Hexadecimal: 1a1c

Square: 44675856

Square Root: 81.75573374387878

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) = 4·n² - 9·n + 6. A54556

Numbers k such that (k!-10)/10 is prime. A139205

Expansion of ∏_{r = 1 or not a perfect power} 1/(1 - x^r). A305630

Number of times prime(n) (the n-th prime) occurs as the least prime factor among numbers 1 .. (prime(n)² * prime(n+1)): a(n) = A078898(A251720(n)). A250477

Array read by antidiagonals: T(n,k) is the number of unlabeled loopless multigraphs with n nodes of degree k or less. A333893

Number of basis partitions (or basic partitions) of n. A66447

Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)). A52477

Numbers n such that the decimal expansions of both n and n² have 4 as the digit with the smallest value and 8 as the digit with the largest value. A254071

a(n) is the number of vertices formed in a square by dividing each of its sides into n equal parts giving a total of 4·n nodes and drawing straight line segments from node k to node (k+n+1) mod 4·n, 0 <= k < 4·n. A335352

Number of ordered quadruples of distinct pairwise coprime positive integers with largest element n; also first differences of A015623. A185348