Properties of the Number 5200

Five Thousand Two Hundred

Basics

Value: 5199 → 5200 → 5201

Parity: even

Prime: No

Previous Prime: 5197

Next Prime: 5209

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 5 ² × 13

Divisors: 1, 2, 4, 5, 8, 10, 13, 16, 20, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1010001010000

Octal: 12120

Duodecimal: 3014

Hexadecimal: 1450

Square: 27040000

Square Root: 72.11102550927978

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) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n. A6918

a(n) = 2·binomial(n,3). A7290

Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere. A35008

Total number of odd parts in all partitions of n. A66897

a(n)³ is smallest cube containing exactly n 0's. A48365

Norm of the sum of divisors function σ(n) generalized for Gaussian integers. A103230

Number of (w,x,y) with all terms in {0,...,n} and |w-x| < |x-y| < |y-w|. A212964

T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms. A250014

Numbers divisible by prime(d+1) for each digit d of their base-10 representation. A256870

Smallest k > 0 with gcd(k, rev(k)) = n, where rev(k) is digit reversal of k, or 0 if no such k exists. A69554