200,124

2² × 3³ × 17 × 109

200,124 factors as 2^2 × 3^3 × 17 × 109. Its 48 positive divisors give a proper-divisor sum of 354,276, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 554,400

Proper Divisor Sum 354,276

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #200117 ← → #200131

Radix Representation

Decimal	200124
Binary	110000110110111100 (18 bits)
Octal	0o606674
Hexadecimal	0x30DBC

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 109 153 204 218 306 327 436 459 612 654 918 981 1,308 1,836 1,853 1,962 2,943 3,706 3,924 5,559 5,886 7,412 11,118 11,772 16,677 22,236 33,354 50,031 66,708 100,062 200,124

Collatz Trajectory (116 steps to reach 1)

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

200,124 100,062 50,031 150,094 75,047 225,142 112,571 337,714 168,857 506,572 253,286 126,643 379,930 189,965 569,896 284,948 142,474 71,237 213,712 106,856 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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