Properties of the Number 75166

Seventy-Five Thousand One Hundred Sixty-Six

Basics

Value: 75165 → 75166 → 75167

Parity: even

Prime: No

Previous Prime: 75161

Next Prime: 75167

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 ² × 13 × 59

Divisors: 1, 2, 7, 13, 14, 26, 49, 59, 91, 98

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010010110011110

Octal: 222636

Duodecimal: 375BA

Hexadecimal: 1259e

Square: 5649927556

Square Root: 274.1641843859259

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

a(n) = ∑_{k=0..floor(3·n/8)} binomial(k+2,2) * binomial(k,3·n-8·k). A392316

Number of cyclic binary sequences of length n containing no abelian 4th powers. A305594

a(n) = 2ⁿ*(n²/4+n/4+4) - Fibonacci(n+4). A387939

Natural numbers mapped to Dyck path encodings of the rooted plane trees obtained by recursing on the exponents of the prime factorization of n. A75166

Number of (n+1)X2 0..3 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant. A185919