Properties of the Number 13385

Thirteen Thousand Three Hundred Eighty-Five

Basics

Value: 13384 → 13385 → 13386

Parity: odd

Prime: No

Previous Prime: 13381

Next Prime: 13397

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 2677

Divisors: 1, 5, 2677, 13385

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001001001

Octal: 32111

Duodecimal: 78B5

Hexadecimal: 3449

Square: 179158225

Square Root: 115.69356075426151

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

Sum of 10 nonzero 8th powers. A3388

Numbers k such that k¹⁸ == 1 (mod 19³). A56089

Number of partitions of n such that the number of parts having multiplicity 1 is not a part and the number of distinct parts is not a part. A241445

Positive numbers y such that y² is of the form x² + (x+97)² with integer x. A157469

Numbers n such that μ(n) + μ(n+1) + μ(n+2) + μ(n+3) + μ(n+4) + μ(n+5) + μ(n+6) = 6. A82967

Number of (w,x,y,z) with all terms in {0,...,n} and w=[R/2], where R=max{w,x,y,z}-min{w,x,y,z} and [ ]=floor. A212758

Number of series-reduced planted trees with n+9 nodes and 4 internal nodes. A1860

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7. A31420

G.f. A(x) satisfies A(x/A(x)) = 1/(1-x). A88713

a(n) = 2^Lucas(n). A230900