Properties of the Number 53017

Fifty-Three Thousand Seventeen

Basics

Value: 53016 → 53017 → 53018

Parity: odd

Prime: Yes

Previous Prime: 53003

Next Prime: 53047

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 53017

Divisors: 1, 53017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111100011001

Octal: 147431

Duodecimal: 26821

Hexadecimal: cf19

Square: 2810802289

Square Root: 230.25420734483876

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

Number of divisors d of n! such that d+1 is prime. A67847

Primes of the form 6·k² + 1. A90687

a(n) = ∑_d∣n d² * (d+1)/2. A278403

Primes p such that lcm(1,2,3,...,p-2,p-1,p) - 1 is prime. A154524

Number of partitions of n such that m(2) < m(3), where m = multiplicity. A240063

a(n) is the least prime p, such that next_prime(2·p) - 2·p = 2·n - 1. A59846

Triangle read by rows: T(n,k) is the number of deco polyominoes of height n having k cells in the second column (n>=1, k>=0). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A121581

Number of nX2 0..2 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other. A201426

Prime powers k such that lcm(1, 2, 3, ..., k)-1 is prime. A385564

Let Do(n) = A006566(n) = n-th dodecahedral number. Consider all integer triples (i,j,k), j >= k>0, with Do(i) = Do(j) + Do(k), ordered by increasing i; sequence gives i values. A53017