Properties of the Number 42012

Forty-Two Thousand Twelve

Basics

Value: 42011 → 42012 → 42013

Parity: even

Prime: No

Previous Prime: 41999

Next Prime: 42013

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 389

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010000011100

Octal: 122034

Duodecimal: 20390

Hexadecimal: a41c

Square: 1765008144

Square Root: 204.96829023046467

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 pentagonal regions in regular n-gon with all diagonals drawn. A67152

E.g.f. A(x) satisfies: exp(A(x)) = x + exp(3·A(x)²/2), with A(0) = 0. A206401

Expansion of (theta₃(z)*theta₃(23z) + theta₂(z)*theta₂(23z))⁶. A328094

a(n) = 1 + Sum(prime(i)*(2·i-1): 1<=i<=n). A83215

Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A299095

Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A299091

G.f. = φ²*F⁴, where φ = g.f. for A028930, F = g.f. for A028959. A328535

Records in A009101. A354710

Primes whose decimal representation also represents a prime in base 2. A89971

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A299097