Properties of the Number 42205

Forty-Two Thousand Two Hundred Five

Basics

Value: 42204 → 42205 → 42206

Parity: odd

Prime: No

Previous Prime: 42197

Next Prime: 42209

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 23 × 367

Divisors: 1, 5, 23, 115, 367, 1835, 8441, 42205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010011011101

Octal: 122335

Duodecimal: 20511

Hexadecimal: a4dd

Square: 1781262025

Square Root: 205.43855529087037

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

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals: A(n,k) = [x^n²] theta₃(x)^k/(1 - x), where theta₃() is the Jacobi θ function. A302997

T(n,k)=Number of nXk array permutations with each element not moving, or moving one space N, SW or SE. A189435

Partial sums of A000132. A175360

Number of points in Z⁵ of norm <= n. A55411

Number of points in Zⁿ of norm <= 6. A55430

Number of nX8 array permutations with each element not moving, or moving one space N, SW or SE. A189434

Number of 4 X n array permutations with each element not moving, or moving one space N, SW or SE. A189436

Denominators of continued fraction convergents to sqrt(628). A42205