200,000

2⁶ × 5⁵

200,000 factors as 2^6 × 5^5. Its 42 positive divisors give a proper-divisor sum of 296,062, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^6 × 5^5

Distinct Prime Factors 2

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 496,062

Proper Divisor Sum 296,062

Digit Sum / Digital Root 2 (Root: 2)

Adjacent Primes #199999 ← → #200003

Radix Representation

Decimal	200000
Binary	110000110101000000 (18 bits)
Octal	0o606500
Hexadecimal	0x30D40

Divisor Catalog (42)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1,000 1,250 1,600 2,000 2,500 3,125 4,000 5,000 6,250 8,000 10,000 12,500 20,000 25,000 40,000 50,000 100,000 200,000

Collatz Trajectory (129 steps to reach 1)

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

200,000 100,000 50,000 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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