Properties of the Number 5217

Five Thousand Two Hundred Seventeen

Basics

Value: 5216 → 5217 → 5218

Parity: odd

Prime: No

Previous Prime: 5209

Next Prime: 5227

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 37 × 47

Divisors: 1, 3, 37, 47, 111, 141, 1739, 5217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010001100001

Octal: 12141

Duodecimal: 3029

Hexadecimal: 1461

Square: 27217089

Square Root: 72.22880311897741

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

Expansion of 1/(1 - ∑_k>=1 μ(k)*x^k), where μ() is the Moebius function (A008683). A300663

Triangle read by rows: T(n,k) is the number of free polyominoes with n cells whose difference between length and width is k, n >= 1, k >= 0. A379625

T(n,k)=Number of nXk 0..2 arrays with rows and columns in nondecreasing order. A184137

For any number n take the polynomial formed by the product of the terms (x-π), where π's are the prime factors of n. Then calculate the area between the minimum and the maximum value of the prime factors. This sequence lists the numbers for which the area is a positive integer. A203612

G.f.: exp( ∑_n>=1 A005063(n)*xⁿ/n ), where A005063(n) = sum of squares of primes dividing n. A219224

Numbers that are the sum of nine fifth powers in two or more ways. A345619

Numbers that are the sum of nine fifth powers in exactly two ways. A346337

Numbers n such that (n⁸³-1)/(n-1) is prime. A217087

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 785", based on the 5-celled von Neumann neighborhood. A273557

Square root of coefficients of power series: A083352(x)² + A083352(x) - 1; term-by-term square root of A083353. A83354