Properties of the Number 13319

Thirteen Thousand Three Hundred Nineteen

Basics

Value: 13318 → 13319 → 13320

Parity: odd

Prime: No

Previous Prime: 13313

Next Prime: 13327

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 19 × 701

Divisors: 1, 19, 701, 13319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010000000111

Octal: 32007

Duodecimal: 785B

Hexadecimal: 3407

Square: 177395761

Square Root: 115.40797199500561

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

Multiples of 19 containing a 19 in their decimal representation. A121039

Sum of the largest parts of the partitions of n into 8 squarefree parts. A326452

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order. A223033

Odd composite integers m such that A052918(m-J(m,29)) == 0 (mod m) and gcd(m,29)=1, where J(m,29) is the Jacobi symbol. A340095

Numbers k such that 11·12^k + 1 is prime. A251259

Numbers n such that 1+16n², 1+16(n+1)² and 1+16(n+2)² are prime. A255635

G.f. A(x) satisfies A(x) = 1 + ∑_n>=1 A(x)ⁿ * xⁿ/(1 - xⁿ)ⁿ. A194690

Number of 0..n arrays of length 3 with each element differing from at least one neighbor by something other than 1. A221574

Number of nX5 0..2 arrays with exactly floor(nX5/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order. A223031

arctanh(sec(x)*arctanh(x))=x+7/3!*x³+193/5!*x⁵+13319/7!*x⁷... A12849