Properties of the Number 42084

Forty-Two Thousand Eighty-Four

Basics

Value: 42083 → 42084 → 42085

Parity: even

Prime: No

Previous Prime: 42083

Next Prime: 42089

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 × 167

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010001100100

Octal: 122144

Duodecimal: 20430

Hexadecimal: a464

Square: 1771063056

Square Root: 205.1438519673451

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..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors. A238287

Triangle: Newton expansion of C(n,m)³, read by rows. A262704

Molecular topological indices of the sun graphs. A192845

Number of (n+1) X (3+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors. A238283

Number of commuting functions: the number of ordered pairs (f,g) of functions from {1..n} to itself such that fg=gf (i.e., f(g(i))=g(f(i)) for all i). A181162

Numerators of continued fraction convergents to sqrt(566). A42084