284,805

3² × 5 × 6329

Starting at 284,805, the Collatz iteration reaches 1 after 145 steps. The first transition is 854416; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 6329

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 493,740

Proper Divisor Sum 208,935

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #284803 ← → #284807

Radix Representation

Decimal	284805
Binary	1000101100010000101 (19 bits)
Octal	0o1054205
Hexadecimal	0x45885

Divisor Catalog (12)

1 3 5 9 15 45 6,329 18,987 31,645 56,961 94,935 284,805

Collatz Trajectory (145 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

284,805 854,416 427,208 213,604 106,802 53,401 160,204 80,102 40,051 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

← Previous Integer #284,804 Browse Full Index Next Integer #284,806 →