Properties of the Number 66193

Sixty-Six Thousand One Hundred Ninety-Three

Basics

Value: 66192 → 66193 → 66194

Parity: odd

Prime: No

Previous Prime: 66191

Next Prime: 66221

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 37 × 1789

Divisors: 1, 37, 1789, 66193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000001010010001

Octal: 201221

Duodecimal: 32381

Hexadecimal: 10291

Square: 4381513249

Square Root: 257.2800031094527

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

Number of partitions of n such that some part is a sum of two other parts. A237113

a(n) = 4 + floor(∑_k=1..n-1 a(k) / 2). A120134

Structured hexagonal diamond numbers (vertex structure 5). A100178

a(n) = 625·n² - 886·n + 314. A157618

L.g.f.: log(∏_k>=1 1/(1 - x^k/(1 + x))) = ∑_k>=1 a(k)*x^k/k. A307675

Greedy Coppersmith-Winograd sequence. A172161

1/9 the number of (n+1) X 7 0..2 arrays with all 2 X 2 subblocks having the same four values. A184045

Number of nX1 0..1 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative. A223220

Numbers k such that the equation x² - k·y⁴ = -1 has a solution for which |y| > 2. A356488

T(n,k) = 1/9 the number of (n+1) X (k+1) 0..2 arrays with all 2 X 2 subblocks having the same four values. A184048