Properties of the Number 6307

Six Thousand Three Hundred Seven

Basics

Value: 6306 → 6307 → 6308

Parity: odd

Prime: No

Previous Prime: 6301

Next Prime: 6311

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 17 × 53

Divisors: 1, 7, 17, 53, 119, 371, 901, 6307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100010100011

Octal: 14243

Duodecimal: 3797

Hexadecimal: 18a3

Square: 39778249

Square Root: 79.41662294507366

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 into distinct parts in which the number of parts divides n. A102627

Number of strict integer partitions with sum <= n that can be linearly combined using nonnegative coefficients to obtain n. A365311

Number of integer partitions of n whose length times maximum is a multiple of n. A326849

T(n,k) = Number of n X k 0..3 arrays with no element equal to zero plus the sum of elements to its left or one 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. A241356

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself. A266101

Numbers whose sum of divisors is a fifth power. A19423

First column of a triangle - see Comments lines. A135364

Largest squarefree number k such that Q(sqrt(-k)) has class number n. A38552

Sequence S such that 1 is in S and if·is in S, then 6x-1 and 6x+1 are in S. A147993

a(n) = a(n-2) + a(n-3), with a(0) = 0, a(1) = 1, a(2) = 2. A7307