Properties of the Number 42106

Forty-Two Thousand One Hundred Six

Basics

Value: 42105 → 42106 → 42107

Parity: even

Prime: No

Previous Prime: 42101

Next Prime: 42131

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 37 × 569

Divisors: 1, 2, 37, 74, 569, 1138, 21053, 42106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010001111010

Octal: 122172

Duodecimal: 2044A

Hexadecimal: a47a

Square: 1772915236

Square Root: 205.19746587129188

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

Numbers k > 1 such that, in base 5, k and k² contain the same digits in the same proportion. A61659

a(n) is the least m such that A341284(m) = 2·n*prime(m+1) - prime(m). A342027

Number of zig-zag paths from top to bottom of a rectangle of width 10 with n rows. A153360

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 45. A31633

G.f. satisfies: A(x) = 1/(1 + x·A(x⁸)) and also the continued fraction: 1 + x·A(x⁹) = [1; 1/x, 1/x⁸, 1/x⁶⁴, 1/x⁵¹², ..., 1/x^{8^(n-1}), ...]. A101918

Numerators of continued fraction convergents to sqrt(578). A42106