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Properties of the Number 6831

Six Thousand Eight Hundred Thirty-One

Basics

Value: 6830 → 6831 → 6832

Parity: odd

Prime: No

Previous Prime: 6829

Next Prime: 6833

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 3 × 11 × 23

Divisors: 1, 3, 9, 11, 23, 27, 33, 69, 99, 207

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1101010101111

Octal: 15257

Duodecimal: 3B53

Hexadecimal: 1aaf

Square: 46662561

Square Root: 82.64986388373546

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 for which the number of odd parts is equal to the positive alternating sum of the parts. A277103
T(n,k)=Rolling icosahedron face footprints: number of nXk 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge. A223282
Sum of the lengths of the cycle types of the permutation created by length sorting on the partitions of n. A36056
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
a(1) = 3; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74339
Number of aperiodic toroidal necklaces of positive integers summing to n. A323866
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock equal to two, and every 2X2 determinant nonzero. A206318
Odd interprimes divisible by 11. A126230
Numbers that begin a run of an odd number of consecutive integers whose cubes sum to a square. A253679
Nonnegative values·of solutions (x, y) to the Diophantine equation x2+(x+161)2 = y2. A206426