Properties of the Number 6648

Six Thousand Six Hundred Forty-Eight

Basics

Value: 6647 → 6648 → 6649

Parity: even

Prime: No

Previous Prime: 6637

Next Prime: 6653

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 277

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 277, 554

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111111000

Octal: 14770

Duodecimal: 3A20

Hexadecimal: 19f8

Square: 44195904

Square Root: 81.53526844255803

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 non-isomorphic self-dual multiset partitions of weight n. A316983

Generalized 26-gonal (or icosihexagonal) numbers: m*(12·m - 11) with m = 0, +1, -1, +2, -2, +3, -3, ... A316724

a(n) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

Record gaps between twin primes. A113274

Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n. A114166

a(n)=a(n-1)+a(m), where m=2n-2-2^p+1 and 2^p<n-1<=2^p+1, for n >= 4. A50067

26-gonal numbers: a(n) = n*(12·n-11). A255185

G.f.: ∑_n=-oo..+oo n·xⁿ * (1 - xⁿ)ⁿ. A291937

a(n) = prime(n)³ - prime(n³). A262199

The number of partitions of n in which at least one part is a multiple of 3. A295341