Properties of the Number 73170

Seventy-Three Thousand One Hundred Seventy

Basics

Value: 73169 → 73170 → 73171

Parity: even

Prime: No

Previous Prime: 73141

Next Prime: 73181

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 × 271

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110111010010

Octal: 216722

Duodecimal: 36416

Hexadecimal: 11dd2

Square: 5353848900

Square Root: 270.4995378923964

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+1)X(k+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements. A251201

Least number k such that the determinant of the circulant matrix formed by its decimal digits is equal to k/n. A323485

a(n) = (p+2)!/p! where p is the n-th lesser twin prime, A001359(n). A126251

Expansion of a(q) * b(q)³ in powers of q where a(), b() are cubic AGM θ functions. A215711

Numbers n such that n * (x-1)/x produces a rotation of the digits in n for some value of x. A288626

Number of (n+1)X(n+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements. A251193

Number of (n+1) X (4+1) 0..1 arrays with no 2 X 2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements. A251197

a(1) = a(2) = 0; for n>2, a(n) = prime(n-1)-n+1. A73170