Properties of the Number 42512

Forty-Two Thousand Five Hundred Twelve

Basics

Value: 42511 → 42512 → 42513

Parity: even

Prime: No

Previous Prime: 42509

Next Prime: 42533

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 2657

Divisors: 1, 2, 4, 8, 16, 2657, 5314, 10628, 21256, 42512

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010011000010000

Octal: 123020

Duodecimal: 20728

Hexadecimal: a610

Square: 1807270144

Square Root: 206.18438350175796

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 nXk 0..1 arrays with every element unequal to 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317376

a(n+1) = a(n) + floor(a(n)/5) with a(0)=5. A182306

G.f.: A(x) = ∑_n>=0 xⁿ / ∏_k=1..n (1-x^k)^n-k+1. A206119

Number of (n+1) X 5 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors. A206263

Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317372

Number of nX5 0..1 arrays with every element unequal to 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317373

Numerators of continued fraction convergents to sqrt(785). A42512