Properties of the Number 42100

Forty-Two Thousand One Hundred

Basics

Value: 42099 → 42100 → 42101

Parity: even

Prime: No

Previous Prime: 42089

Next Prime: 42101

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 ² × 421

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 421

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010010001110100

Octal: 122164

Duodecimal: 20444

Hexadecimal: a474

Square: 1772410000

Square Root: 205.1828452868319

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

T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235301

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303624

Triangle, read by rows, where the g.f. of column k, C_k(x), is defined by the recurrence: C_k(x) = [ 1 + ∑_n>=k+1 C_n(x)*x^n-k ]^k+1 for k>=0. A127126

Column 3 of triangle A127126. A127130

The common value of sigma₂ for square-amicable numbers, sigma₂(m)=sigma₂(n), m<n. A110929

Number of (n+1) X (2+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235292

Number of (n+1) X (8+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235298

Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303619

Numerators of continued fraction convergents to sqrt(574). A42100