Properties of the Number 39985

Thirty-Nine Thousand Nine Hundred Eighty-Five

Basics

Value: 39984 → 39985 → 39986

Parity: odd

Prime: No

Previous Prime: 39983

Next Prime: 39989

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 5 × 11 × 727

Divisors: 1, 5, 11, 55, 727, 3635, 7997, 39985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110000110001

Octal: 116061

Duodecimal: 1B181

Hexadecimal: 9c31

Square: 1598800225

Square Root: 199.96249648371565

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

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305961

Number of espalier polycubes of a given volume in dimension 3. A229915

Odd composite integers m such that U(m)² == 1 (mod m) and V(m) == 5 (mod m), where U(m) and V(m) are the m-th generalized Lucas and Pell-Lucas numbers of parameters a=5 and b=-1, respectively. A337628

Expansion of 1/(1-2x-3x³). A99525

a(n) = n! * ∑_{k=0..floor(n/3)} (-k)^k / (k! * (n-3·k)!). A362338

Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305956

Number of n X 6 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305959

An example of a d-perfect sequence. A39985