Properties of the Number 18385

Eighteen Thousand Three Hundred Eighty-Five

Basics

Value: 18384 → 18385 → 18386

Parity: odd

Prime: No

Previous Prime: 18379

Next Prime: 18397

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 3677

Divisors: 1, 5, 3677, 18385

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011111010001

Octal: 43721

Duodecimal: A781

Hexadecimal: 47d1

Square: 338008225

Square Root: 135.5912976558599

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

E.g.f. A(x) satisfies: [xⁿ] A(x)^n² = n² * [x^n-1] A(x)^n² for n>=1. A300590

Number of ways to write n as an ordered sum of 5 nonprime numbers. A341482

Number of UDUD's in all Dyck paths of semilength n with no UUU's and no DDD's (U=(1,1), D=(1,-1)). A166290

Expansion of g.f. 1/ (1-x¹*(1-x^m+1)/ (1-x²*(1-x^m+2)/ (1- ... ))) for m=8. A185648

Numbers k such that the continued fraction for sqrt(k) has period 99. A20438

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 8. A31421

Numbers k such that 363·2^k+1 is prime. A323006

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (-1, 1, 0), (1, 0, -1), (1, 1, 1)}. A149624

a(n) = round( (e/2)ⁿ ). A230580

O.g.f. A(x) satisfies: [xⁿ] exp( n² * A(x) ) = n² * [x^n-1] exp( n² * A(x) ) for n>=1. A300591