Properties of the Number 40224

Forty Thousand Two Hundred Twenty-Four

Basics

Value: 40223 → 40224 → 40225

Parity: even

Prime: No

Previous Prime: 40213

Next Prime: 40231

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 419

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110100100000

Octal: 116440

Duodecimal: 1B340

Hexadecimal: 9d20

Square: 1617970176

Square Root: 200.5592181875468

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 subsets of {1..n} containing all of their integer quotients > 1. A326079

High-temperature series in v = tanh(J/kT) for susceptibility for the Ising model on honeycomb structure. A2910

High-temperature series for susceptibility for the spin-1/2 Ising model on hexagonal lattice. A2919

Numbers k such that 2·prime(k)+1, 2·prime(k+1)+1 and 2·prime(k+2)-1 are also consecutive primes. A103851

Number of permutations of {1,...,n} avoiding adjacent step pattern up, down, down, down, down, down. A177534

θ series of lattice Kappa₈. A15235

Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259004

a(n) = 8·n⁴+44·n³+106·n²+100·n+30. A129029

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 0, -1), (0, 1, 0), (1, -1, 1)}. A148412

Continued fraction for sqrt(240). A40224