Properties of the Number 52002

Fifty-Two Thousand Two

Basics

Value: 52001 → 52002 → 52003

Parity: even

Prime: No

Previous Prime: 51991

Next Prime: 52009

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁵ × 107

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1100101100100010

Octal: 145442

Duodecimal: 26116

Hexadecimal: cb22

Square: 2704208004

Square Root: 228.0394702677587

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

Numbers n such that n divides n-th Lucas number A000032(n). A16089

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299465

Number of (w,x,y,z) with all terms in {0,...,n} and even range. A212889

a(n) = (L(n) + L(2·n))/2, where L = A000032 (the Lucas sequence). A49680

a(n) = 108·n² - 228·n + 114 (n>=2). A304618

a(n) = round(n*φ¹⁸), where φ is the golden ratio, A001622. A4953

a(n) = ceiling(n*φ¹⁸), where φ is the golden ratio, A001622. A4973

Number of nX5 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299462

a(n) = n·Lucas(2·n). A343543

Number of n X n 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299459