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Properties of the Number 8684

Eight Thousand Six Hundred Eighty-Four

Basics

Value: 8683 → 8684 → 8685

Parity: even

Prime: No

Previous Prime: 8681

Next Prime: 8689

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 2 × 13 × 167

Divisors: 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10000111101100

Octal: 20754

Duodecimal: 5038

Hexadecimal: 21ec

Square: 75411856

Square Root: 93.18798205777395

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

Numbers n such that Bernoulli number Bn has denominator 1590. A272140
G.f. satisfies A(x) = 1 + x·cycleindex(G,A(x)) where G = cyclic group of order 3 generated by (1,2,3)(4,5,6). A36726
Sum of the eighth largest parts in the partitions of n into 10 squarefree parts. A326630
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252139
Numbers n such that n!8-1 is prime. A204662
Irregular table read by rows: The number of k-faced polyhedra, where k >= 4, created when an n-bipyramid, formed from two n-gonal pyraminds joined at the base, is internally cut by all the planes defined by any three of its vertices. A338825
Array read by antidiagonals: T(m,n) is the number of minimum total dominating sets in the m X n king graph. A303335
a(n) = ∑k=1..n antisigma(k), where antisigma(i) = sum of the nondivisors of i that are between 1 and i. A76664
Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4. A209988
Number of minimum total dominating sets in the n X n king graph. A303156