Properties of the Number 5317

Five Thousand Three Hundred Seventeen

Basics

Value: 5316 → 5317 → 5318

Parity: odd

Prime: No

Previous Prime: 5309

Next Prime: 5323

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13 × 409

Divisors: 1, 13, 409, 5317

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011000101

Octal: 12305

Duodecimal: 30B1

Hexadecimal: 14c5

Square: 28270489

Square Root: 72.91776189653656

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 A(n,k) of partitions of the (n+k)-multiset {0,...,0,1,2,...,k} with n 0's; square array A(n,k), n>=0, k>=0, read by antidiagonals. A346426

Number of even-length integer partitions y of n such that y_i = y_i+1 for all even i. A351012

Triangular array t read by rows: t(0,k) is p(k), the number of partitions of the k-multiset {0,0,...,0} with k zeros. For 0 <= n < k, t(n, k) is the number of partitions of the k-multiset {0, 0, ..., 0, 1, 2, 3, ..., k-n} with n zeros. A126442

Palindromes in factorial base. A46807

a(n) is the number of ways the set {1³, 2³, ..., n³} can be partitioned into two sets of equal sums. A113263

Zero, together with positive numbers k such that prime(k) - k is a square. A64370

a(n) is the number of numbers removed in each step of Eratosthenes's sieve for 10!. A145537

Partial sums of the ordered Bell numbers (number of preferential arrangements) A000670. A217389

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(2,3). A268525

Numbers that are the sum of seven fourth powers in exactly three ways. A345825