Properties of the Number 42107

Forty-Two Thousand One Hundred Seven

Basics

Value: 42106 → 42107 → 42108

Parity: odd

Prime: No

Previous Prime: 42101

Next Prime: 42131

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 13 × 41 × 79

Divisors: 1, 13, 41, 79, 533, 1027, 3239, 42107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010010001111011

Octal: 122173

Duodecimal: 2044B

Hexadecimal: a47b

Square: 1772999449

Square Root: 205.19990253408992

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 (w,x,y,z) with all terms in {1,...,n} and w³<=x³+y³+z³. A212098

Products p·q*r of three distinct primes such that (p·q) mod r, (p·r) mod q and (q·r) mod p are all prime. A338704

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = A000201 (lower Wythoff sequence). A24464

Denominators of continued fraction convergents to sqrt(578). A42107

Number of (n+2) X 5 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order. A204637

Number of 0..3 colorings on an nX6 array circular in the 6 direction with new values 0..3 introduced in row major order. A214109