Properties of the Number 5213

Five Thousand Two Hundred Thirteen

Basics

Value: 5212 → 5213 → 5214

Parity: odd

Prime: No

Previous Prime: 5209

Next Prime: 5227

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 13 × 401

Divisors: 1, 13, 401, 5213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001011101

Octal: 12135

Duodecimal: 3025

Hexadecimal: 145d

Square: 27175369

Square Root: 72.20110802473879

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) = ∑_k<=n A000203(k)*(n-k+1), where A000203(m) is the sum of divisors of m. A175254

Multiples of 13 containing a 13 in their decimal representation. A121033

Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay). A8610

T(n,k)=Number of nXnXn triangular 0..k arrays with every horizontal row nondecreasing and having the same average value. A214906

Numerator of variance of first n primes. A301275

Array read by antidiagonals: T(n,k) is the number of n X n nonnegative integer matrices with sum of elements equal to k, up to rotational symmetry. A343874

Numbers k such that the continued fraction for sqrt(k) has period 9. A10339

Powers of 5 written backwards. A71583

Combined weight, as defined at A234094, of the partitions of n. A234097

First row of A262057. A265316