Properties of the Number 65969

Sixty-Five Thousand Nine Hundred Sixty-Nine

Basics

Value: 65968 → 65969 → 65970

Parity: odd

Prime: No

Previous Prime: 65963

Next Prime: 65981

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 41 × 1609

Divisors: 1, 41, 1609, 65969

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000110110001

Octal: 200661

Duodecimal: 32215

Hexadecimal: 101b1

Square: 4351908961

Square Root: 256.8443108188305

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(0)=1, a(1)=1, a(n) = 9·a(n/2) for even n >= 2, and a(n) = 8·a((n-1)/2) + a((n+1)/2) for odd n >= 3. A116526

Numerators of the partial sums of the reciprocals of the powerful part function (A057521). A379583

a(0) = a(1) = a(2) = 1, for n > 2, a(n) = a(n-1) + a(n-k) + k with k = 3. A362256

a(n) = n² * ∑_{primes p dividing n} (1 + 1/p²). A65969