Properties of the Number 7013

Seven Thousand Thirteen

Basics

Value: 7012 → 7013 → 7014

Parity: odd

Prime: Yes

Previous Prime: 7001

Next Prime: 7019

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7013

Divisors: 1, 7013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101100101

Octal: 15545

Duodecimal: 4085

Hexadecimal: 1b65

Square: 49182169

Square Root: 83.74365647617735

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

Primes that are the sum of 25 consecutive primes. A215991

Numbers that are the sum of 6 positive 6th powers. A3362

Prime numbers ending in the prime number 13. A244763

Primes with first digit 7. A45713

Primes congruent to 2 mod 41. A142199

Number of distinct pairs (m, y), where m >= 1 and y is an integer partition of n, such that m can be obtained by iteratively adding or multiplying together parts of y until only one part (equal to m) remains. A319910

Prime numbers containing the string 13. A166573

Inverse Mertens function: smallest k such that |M(k)| = n, where M(x) is Mertens's function A002321. A51402

Smallest value of·such that M(x) = -n, where M(x) is Mertens's function A002321. A51401

Least prime in A031924 (lesser of 6-twins) such that the distance to the next 6-twin is 2·n. A52352