Properties of the Number 6685

Six Thousand Six Hundred Eighty-Five

Basics

Value: 6684 → 6685 → 6686

Parity: odd

Prime: No

Previous Prime: 6679

Next Prime: 6689

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 191

Divisors: 1, 5, 7, 35, 191, 955, 1337, 6685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000011101

Octal: 15035

Duodecimal: 3A51

Hexadecimal: 1a1d

Square: 44689225

Square Root: 81.7618492941543

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

Indices k such that A020509(k)=φ[k](-10) is prime, where φ is a cyclotomic polynomial. A138920

Partial sums of A001158: ∑_j=1..n sigma₃(j). A64603

Expansion of ∏_k>=1 (1+x^3·k-2)^k. A262879

Compositions with superdiagonal growth: number of compositions (p0, p1, p2, ...) of n with π - p0 >= i. A238861

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240460

Expansion of 1/((1-x)*(1-x²)*(1-x³)*(1-x⁴))². A117486

Number T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (0,k,n-k) and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1); triangle T(n,k), n>=0, 0<=k<=n, read by rows. A328347

Number of ON states after n generations of cellular automaton based on f.c.c. lattice with each cell adjacent to its twelve neighbors. A151776

Numbers of the form p·q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385). A46405

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 774", based on the 5-celled von Neumann neighborhood. A290238