Properties of the Number 6647

Six Thousand Six Hundred Forty-Seven

Basics

Value: 6646 → 6647 → 6648

Parity: odd

Prime: No

Previous Prime: 6637

Next Prime: 6653

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 17 ² × 23

Divisors: 1, 17, 23, 289, 391, 6647

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1100111110111

Octal: 14767

Duodecimal: 3A1B

Hexadecimal: 19f7

Square: 44182609

Square Root: 81.52913589631623

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 twice-partitions of type (Q,P,Q) and weight n. A279790

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241255

a(n) = floor(π*n²). A66643

a(1) = 6; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74342

One of the four successive approximations up to 5ⁿ for the 5-adic integer 6^1/4. This is the 2 (mod 5) case (except for n = 0). A325485

Sum of the eighth largest parts in the partitions of n into 9 squarefree parts. A326525

Square array A(n,k), read by descending antidiagonals, where A(1, k) = A388984(k), and for n > 1, A(n, k) = A003961(A(n-1), k). A388981

Numbers with a sum of digits equal to their greatest prime factor. A52021

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array. A219299

The number of even prime gaps g, satisfying g == 0 (mod 6), out of the first 2ⁿ even prime gaps. A340948