200,682

2 × 3² × 11149

200,682 factors as 2 × 3^2 × 11149. Its 12 positive divisors give a proper-divisor sum of 234,168, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11149

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 434,850

Proper Divisor Sum 234,168

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #200671 ← → #200689

Radix Representation

Decimal	200682
Binary	110000111111101010 (18 bits)
Octal	0o607752
Hexadecimal	0x30FEA

Divisor Catalog (12)

1 2 3 6 9 18 11,149 22,298 33,447 66,894 100,341 200,682

Collatz Trajectory (116 steps to reach 1)

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

200,682 100,341 301,024 150,512 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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