Properties of the Number 65015

Sixty-Five Thousand Fifteen

Basics

Value: 65014 → 65015 → 65016

Parity: odd

Prime: No

Previous Prime: 65011

Next Prime: 65027

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 13003

Divisors: 1, 5, 13003, 65015

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110111110111

Octal: 176767

Duodecimal: 3175B

Hexadecimal: fdf7

Square: 4226950225

Square Root: 254.9803914029469

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

The Dottie number: decimal expansion of root of cos(x) = x. A3957

Decimal expansion of smallest positive root of tan(x) = x. A115365

Decimal expansion of the smallest positive fixed point of csc(x) (and csc^-1(x)). A133866

Decimal expansion of the smallest positive fixed point of sec(x). A133868

Triangular array read by rows. T(n,k) is the number of partial permutations (injective partial functions) of {1,2,...,n} that have exactly k elements in a cycle. The k elements are not necessarily in the same cycle. A fixed point is considered to be in a cycle. A206703

Length of iteration sequence if function A056239, a pseudo-logarithm is iterated and started at n. Fixed point equals zero for all initial values. A82090

a(n) is the number of functions f:X->X, where |X| = n, such that for every·in X, f(f(x)) ≠ x (i.e., the square of the function has no fixed points; note this implies that the function has no fixed points). A134362

Sum divides product: number of integer solutions (w,x,y,z), w >= x >= y >= z > 0, to the equation w·x*y·z = n*(w+x+y+z). A65015

Decimal expansion of the smallest positive fixed point of csch(x) (and csch^-1(x)). A133867

Fixed point of the morphism 1 -> 12, 2 -> 111. A102005