Properties of the Number 42112

Forty-Two Thousand One Hundred Twelve

Basics

Value: 42111 → 42112 → 42113

Parity: even

Prime: No

Previous Prime: 42101

Next Prime: 42131

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁷ × 7 × 47

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 47

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010010000000

Octal: 122200

Duodecimal: 20454

Hexadecimal: a480

Square: 1773420544

Square Root: 205.21208541409055

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)=Number of (n+1)X(k+1) 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203452

G.f. satisfies: A(x) = 1/A(-x·A(x)⁵). A214765

T(n,k) is the number of singly defective permutations of 1..n+2·k-2 with exactly k maxima. A183270

Numbers k such that sopfr(k) = sopfr(k + sopfr(k)). A50780

E.g.f. satisfies A(x) = exp( x * (1+x/2) * A(x) ). A365053

θ series of lattice Kappa₇. A15236

1, followed by list of numbers n such that the number of strong primes and the number of weak primes are equal at the n-th prime. A175102

Expansion of e.g.f. arcsin(log(1 + x)). A296979

E.g.f. satisfies A(x) = 1/(1 - x·A(x))^{log(1 - x·A(x})² / 6). A357037

a(n) = (1+n)*(2·a(n-1) - (n-2)*a(n-2)) with a(0) = a(1) = 1. A361649