Properties of the Number 66585

Sixty-Six Thousand Five Hundred Eighty-Five

Basics

Value: 66584 → 66585 → 66586

Parity: odd

Prime: No

Previous Prime: 66571

Next Prime: 66587

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 23 × 193

Divisors: 1, 3, 5, 15, 23, 69, 115, 193, 345, 579

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010000011001

Octal: 202031

Duodecimal: 32649

Hexadecimal: 10419

Square: 4433562225

Square Root: 258.04069446503973

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

Sum of prime divisors of n (with repetition) is one less than the sum of prime divisors (with repetition) of n+1. A228126

Pell companion numbers A001333 without last digit. A131607

Numbers n such that (i) the sum of prime divisors of n (with repetition) is one less than the sum of prime divisors (with repetition) of n+1, and (ii) n and n+1 have the same number of prime divisors (with repetition). A237929

a(n) = a(n-1) + a(n-2) + 2·a(floor(n/2)) + 3·a(floor(n/3)) + ... + n·a(floor(n/n)), where a(0) = 1, a(1) = 1, a(2) = 1. A298369

Triangle read by rows: T(n,k) is the number of ordered trees having n edges and k branches of length 2. A101307

Expansion of 1/(1-x·sqrt(1+4·x²)). A190864

Numbers k such that A001414(k+1) = A001414(k)+1 and A001414(k)²+3·A001414(k)+1 is prime. A352581

Product of nonzero digits of A066555(n). A66585