Properties of the Number 65978

Sixty-Five Thousand Nine Hundred Seventy-Eight

Basics

Value: 65977 → 65978 → 65979

Parity: even

Prime: No

Previous Prime: 65963

Next Prime: 65981

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 × 11 × 2999

Divisors: 1, 2, 11, 22, 2999, 5998, 32989, 65978

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000110111010

Octal: 200672

Duodecimal: 32222

Hexadecimal: 101ba

Square: 4353096484

Square Root: 256.8618305626587

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

Floor ( n(n+1)(n+2)...(n+9) / (n+(n+1)+(n+2)+...+(n+9)) ). A32781

a(n) = floor(ratio of product and sum of first n numbers). A61370

a(0) = 1; for n>0, a(n) is the smallest positive integer that has not previously occurred such that a(n-1)² + n² + a(n) is a square. A347595

Rounded value of n!/(n(n+1)/2); A000142(n)/A000217(n). A126328

a(n) = floor(n! / Fibonacci(n)). A182212

Number of positive numbers that can be built with n ones using +, -, and *, and require at least n ones. A348083

For even k >= 4, let f(k) = A066285(k/2) be the minimal difference between primes p and q whose sum is k. Such a k is in the sequence if f(k) > f(m) for all even m with 4 <= m < k. A65978

G.f. satisfies: A(x) = 1 + x·A(x)⁴/A(-x)². A143563