Properties of the Number 17985

Seventeen Thousand Nine Hundred Eighty-Five

Basics

Value: 17984 → 17985 → 17986

Parity: odd

Prime: No

Previous Prime: 17981

Next Prime: 17987

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 109

Divisors: 1, 3, 5, 11, 15, 33, 55, 109, 165, 327

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011001000001

Octal: 43101

Duodecimal: A4A9

Hexadecimal: 4641

Square: 323460225

Square Root: 134.1081652995074

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

a(n) = n*(n² + 1)/2. A6003

Rhombic dodecahedral numbers: a(n) = n⁴ - (n - 1)⁴. A5917

a(n) = (1/2)*(n³ + n*(n mod 2)). A317614

Number of integer partitions of n where the parts have the same median as the distinct parts. A360245

Number of, not necessarily connected, regular simple graphs on n vertices with girth exactly 4. A198314

Sum of terms in each group in A074147. A74149

Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330. A277715

a(n) = a(n-1) + 2·a(floor(n/2)) if n > 0, otherwise 1. A58039

a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range. A165599

E.g.f. A(x) satisfies: A(x) = exp( Integral B(x) dx ) such that B(x) = exp(-x) * exp( Integral A(x) dx ), where the constant of integration is zero. A266328