284,850

2 × 3³ × 5² × 211

284,850 factors as 2 × 3^3 × 5^2 × 211. Its 48 positive divisors give a proper-divisor sum of 503,790, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 788,640

Proper Divisor Sum 503,790

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #284839 ← → #284857

Radix Representation

Decimal	284850
Binary	1000101100010110010 (19 bits)
Octal	0o1054262
Hexadecimal	0x458B2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 211 225 270 422 450 633 675 1,055 1,266 1,350 1,899 2,110 3,165 3,798 5,275 5,697 6,330 9,495 10,550 11,394 15,825 18,990 28,485 31,650 47,475 56,970 94,950 142,425 284,850

Collatz Trajectory (145 steps to reach 1)

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

284,850 142,425 427,276 213,638 106,819 320,458 160,229 480,688 240,344 120,172 60,086 30,043 90,130 45,065 135,196 67,598 33,799 101,398 50,699 152,098 76,049 228,148 114,074 57,037 171,112 85,556 42,778 21,389 64,168 32,084 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

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