Properties of the Number 5219

Five Thousand Two Hundred Nineteen

Basics

Value: 5218 → 5219 → 5220

Parity: odd

Prime: No

Previous Prime: 5209

Next Prime: 5227

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 17 × 307

Divisors: 1, 17, 307, 5219

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001100011

Octal: 12143

Duodecimal: 302B

Hexadecimal: 1463

Square: 27237961

Square Root: 72.24264668462804

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 partitions of n containing a clique of size 1. A183558

a(n) = n³ + n² + n. A27444

a(n) = n*(9·n + 1)/2. A22267

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011. A260501

T(n,k) is the number of (n+1) X (k+1) 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2 X 2 permanents nonzero. A204740

Numbers n such that 5·10ⁿ-1 is prime. A56712

T(n,k) = Number of n X k 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 2,1,0,3,4 for x=0,1,2,3,4. A196436

T(n,k)=Number of nXk 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing. A224057

Index where prime(n) appears as a term in A379248. A379290

Expansion of ∏_k>=1 1/(1 - x^2·k+3)^k. A263352