Properties of the Number 5013

Five Thousand Thirteen

Basics

Value: 5012 → 5013 → 5014

Parity: odd

Prime: No

Previous Prime: 5011

Next Prime: 5021

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 557

Divisors: 1, 3, 9, 557, 1671, 5013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110010101

Octal: 11625

Duodecimal: 2A99

Hexadecimal: 1395

Square: 25130169

Square Root: 70.80254232723568

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) = [qⁿ] (1 - q)ⁿ / ∏_j=1..n (1 - q^j). A281425

Number of partitions of n in which the greatest part is 10. A26816

a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes. A24697

a(n) = n*(31·n-1)/2. A22288

T(n,k) = Number of n X k 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. A278280

Number of ordered pairs of integers (x,y) with x²+y² < n². A51132

Positions of 10 after decimal point in decimal expansion of 1/π. A134260

a(n) = n*(16·n² - 21·n + 7)/2. A260260

Minimum number of points of the square lattice falling strictly inside a circle of radius n. A291259

Max_k=0..n { Number of partitions of n into exactly k parts }. A2569