Properties of the Number 10167

Ten Thousand One Hundred Sixty-Seven

Basics

Value: 10166 → 10167 → 10168

Parity: odd

Prime: No

Previous Prime: 10163

Next Prime: 10169

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 3389

Divisors: 1, 3, 3389, 10167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011110110111

Octal: 23667

Duodecimal: 5A73

Hexadecimal: 27b7

Square: 103367889

Square Root: 100.83154268382489

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

T(n,k)=Number of nXk binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once. A269075

Starting numbers for which the RATS sequence has eventual period 14. A114615

Total number of parts coprime to n in the partitions of n into 8 parts. A363326

Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex. A255561

Expansion of g.f.: 1/((1 - x - x² + x⁶ - x⁸)*(1 - x² + x⁶ + x⁷ - x⁸)). A147620

Number of 8-element subsets of {1, 2, ..., n} having pairwise coprime elements. A186984

Number of 10-element subsets of {1, 2, ..., n} having pairwise coprime elements. A186986

Molien series for group G_1,3 of order 2304. A51461

Molien series for group G_1,3⁸ of order 4608. A51463

Number of lines through at least 2 points of a 6 X n grid of points. A160846