Properties of the Number 42912

Forty-Two Thousand Nine Hundred Twelve

Basics

Value: 42911 → 42912 → 42913

Parity: even

Prime: No

Previous Prime: 42901

Next Prime: 42923

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 149

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011110100000

Octal: 123640

Duodecimal: 20A00

Hexadecimal: a7a0

Square: 1841439744

Square Root: 207.15211801958483

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

a(n) = n*(n² - 3·n + 4). A242659

E.g.f.: arcsinh(arcsin(x)²) (even powers only). A12346

Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 + x*(exp(x) - 1))² ). A377392

Numerators of continued fraction convergents to sqrt(988). A42912

a(n) = n! * ∑_{0<=i<=j<=k<=n, i+j+k<=n} 1/(i!*j!*k!). A76177

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254261

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically. A254300

Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 4 neighboring 1s. A297685