Properties of the Number 42066

Forty-Two Thousand Sixty-Six

Basics

Value: 42065 → 42066 → 42067

Parity: even

Prime: No

Previous Prime: 42061

Next Prime: 42071

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 19 × 41

Divisors: 1, 2, 3, 6, 9, 18, 19, 27, 38, 41

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010001010010

Octal: 122122

Duodecimal: 20416

Hexadecimal: a452

Square: 1769548356

Square Root: 205.09997562164654

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

Triangle read by rows: T(n,m) (n >= m >= 1) = number of chambers (or regions) formed by drawing the line segments connecting any two of the (n+1) X (m+1) lattice points in an n X m lattice polygon. A288187

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 nXk array. A220537

Numbers k such that (2^k - k - 1)*2^k - 1 is prime. A201363

a(n) = 25·n² + n. A173089

Solutions k of the equation isigma(k) = isigma(k-1) + isigma(k-2) where isigma(k) is the sum of the infinitary divisors of k (A049417). A332975

Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,2. A37549

Equals one maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 nX5 array. A220536

Equals one maps: number of 4Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 4Xn array. A220540

Numerators of continued fraction convergents to sqrt(557). A42066