Properties of the Number 6031

Six Thousand Thirty-One

Basics

Value: 6030 → 6031 → 6032

Parity: odd

Prime: No

Previous Prime: 6029

Next Prime: 6037

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 37 × 163

Divisors: 1, 37, 163, 6031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110001111

Octal: 13617

Duodecimal: 35A7

Hexadecimal: 178f

Square: 36372961

Square Root: 77.6595132614157

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

11-gonal (or hendecagonal) numbers: a(n) = n*(9·n-7)/2. A51682

Second spoke of a hexagonal spiral. A56106

Expansion of 1/(1 - x - x⁹ - x¹⁷ + x¹⁸). A175772

T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected horizontally, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229637

a(n) = ∑_{k=0..floor(n/2)} T(n,k), T given by A026758. A26766

Number of partitions p of n into distinct parts not including mean(p). A240851

Semiprimes in A056106. A113524

Magic constants of 5 X 5 magic squares which consist of consecutive primes. A176571

Numbers k such that there are exactly 8 numbers j for which binomial(k, floor(k/2)) / binomial(k,j) is an integer, i.e., A080383(k) = 8. A80386

The first four numbers of this sequence are the primes 2,3,5,7. The other terms are calculated by adding the previous four terms. A100532