300,475

5² × 7 × 17 × 101

300,475 factors as 5^2 × 7 × 17 × 101. Its 24 positive divisors give a proper-divisor sum of 154,853, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 17 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 455,328

Proper Divisor Sum 154,853

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #300463 ← → #300481

Radix Representation

Decimal	300475
Binary	1001001010110111011 (19 bits)
Octal	0o1112673
Hexadecimal	0x495BB

Divisor Catalog (24)

1 5 7 17 25 35 85 101 119 175 425 505 595 707 1,717 2,525 2,975 3,535 8,585 12,019 17,675 42,925 60,095 300,475

Collatz Trajectory (114 steps to reach 1)

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

300,475 901,426 450,713 1,352,140 676,070 338,035 1,014,106 507,053 1,521,160 760,580 380,290 190,145 570,436 285,218 142,609 427,828 213,914 106,957 320,872 160,436 80,218 40,109 120,328 60,164 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 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 1,276 638 319

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