Properties of the Number 65988

Sixty-Five Thousand Nine Hundred Eighty-Eight

Basics

Value: 65987 → 65988 → 65989

Parity: even

Prime: No

Previous Prime: 65983

Next Prime: 65993

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 13 × 47

Divisors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000000111000100

Octal: 200704

Duodecimal: 32230

Hexadecimal: 101c4

Square: 4354416144

Square Root: 256.88129554329174

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

Total area of all deco polyominoes of height n. A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A121553

List of free corner-connected polyominoes in binary code (as defined in A246521), ordered first by number of bits, then by value of the binary code. A364928

E.g.f. A(x) satisfies: 1-x = ∑_n>=0 Laplace(A(x)ⁿ) * (-x)ⁿ. A213058

a(n) is the largest prime p < n such that n mod p is a perfect square; a(n) = 0 if no such prime exists. A65988

Numbers n such that σ(φ(n)) - φ(n) = n + φ(σ(n)-n); that is, f(g(n)) - g(f(n)) = n where f = A001065 and g = A000010. A291869