Properties of the Number 40167

Forty Thousand One Hundred Sixty-Seven

Basics

Value: 40166 → 40167 → 40168

Parity: odd

Prime: No

Previous Prime: 40163

Next Prime: 40169

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 4463

Divisors: 1, 3, 9, 4463, 13389, 40167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110011100111

Octal: 116347

Duodecimal: 1B2B3

Hexadecimal: 9ce7

Square: 1613387889

Square Root: 200.417065141669

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 (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254804

Matrix inverse square-root of triangle A105615. A105620

Floor of the expected value of number of trials until exactly one cell is empty in a random distribution of n balls in n cells. A210112

Indices of primes in sequence defined by A(0) = 41, A(n) = 10·A(n-1) + 81 for n > 0. A101738

Column 2 of triangle A105620. A105621

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254799

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254805

Column 5 of triangle A123610. A123615

Primes p such that x⁵ = 5 has no solution mod p. A40167