Properties of the Number 6736

Six Thousand Seven Hundred Thirty-Six

Basics

Value: 6735 → 6736 → 6737

Parity: even

Prime: No

Previous Prime: 6733

Next Prime: 6737

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 421

Divisors: 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001010000

Octal: 15120

Duodecimal: 3A94

Hexadecimal: 1a50

Square: 45373696

Square Root: 82.07313811473277

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

Number of partitions of n with equal number of even and odd parts. A45931

Number of Golomb partitions of n. A325858

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor(n/2), s = (natural numbers >= 3), t = (Fibonacci numbers). A24315

Numbers n such that p(2n) is prime, where p(n) is the number of partitions of n. A114165

T(n,k)=Petersen graph (8,2) coloring a rectangular array: number of nXk 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph. A223599

Multiply a(n-1) by 2 and drop all 0's. A242350

Number of partitions of 2·n into at most 4 parts. A14126

Numbers k for which φ(prime(k)) is a square. A62325

Triangular array read by rows: T(n,1) = T(n,n) = 1, T(n,k) = 4·T(n-1, k-1) + 2·T(n-1, k). A119726

Expansion of ψ(q) * ψ(q²) * ψ(q⁶) / ψ(q³)³ in powers of q where ψ() is a Ramanujan θ function. A213265