Properties of the Number 6747

Six Thousand Seven Hundred Forty-Seven

Basics

Value: 6746 → 6747 → 6748

Parity: odd

Prime: No

Previous Prime: 6737

Next Prime: 6761

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 173

Divisors: 1, 3, 13, 39, 173, 519, 2249, 6747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001011011

Octal: 15133

Duodecimal: 3AA3

Hexadecimal: 1a5b

Square: 45522009

Square Root: 82.14012417813842

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 nonlinear binomial sum. A126

Sum T(n,k) over all partitions λ of n into k distinct parts of ∏_i:λ prime(i); triangle T(n,k), n>=0, 0<=k<=A003056(n), read by rows. A258323

Number of primes between n·100000 and (n+1)*100000. A38825

Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,... A62708

Bisection of toothpick sequence A139250. A159791

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s. A296804

a(n) = (n + 1)*(20·n² + 19·n + 6)/6. A220084

Product of a prime number p and the number of primes smaller than p. A117495

Number of partitions p of n such that median(p) > multiplicity(max(p)). A240210

Magic sums of 4 X 4 magic squares composed of triangular numbers. A271579