300,441

3 × 17 × 43 × 137

300,441 factors as 3 × 17 × 43 × 137. Its 16 positive divisors give a proper-divisor sum of 136,743, so this integer is deficient. The Collatz stopping time is 295 steps.

Prime Factor Structure

Factorization String 3 × 17 × 43 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 437,184

Proper Divisor Sum 136,743

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #300439 ← → #300463

Radix Representation

Decimal	300441
Binary	1001001010110011001 (19 bits)
Octal	0o1112631
Hexadecimal	0x49599

Divisor Catalog (16)

1 3 17 43 51 129 137 411 731 2,193 2,329 5,891 6,987 17,673 100,147 300,441

Collatz Trajectory (295 steps to reach 1)

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

300,441 901,324 450,662 225,331 675,994 337,997 1,013,992 506,996 253,498 126,749 380,248 190,124 95,062 47,531 142,594 71,297 213,892 106,946 53,473 160,420 80,210 40,105 120,316 60,158 30,079 90,238 45,119 135,358 67,679 203,038 101,519 304,558 152,279 456,838 228,419 685,258 342,629 1,027,888 513,944 256,972 128,486 64,243 192,730 96,365 289,096 144,548 72,274 36,137 108,412 54,206 27,103 81,310 40,655 121,966 60,983 182,950 91,475 274,426 137,213 411,640

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