3 × 5² × 7 × 67

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 67,456

Proper Divisor Sum 32,281

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #35171 ← → #35201

1 3 5 7 15 21 25 35 67 75 105 175 201 335 469 525 1,005 1,407 1,675 2,345 5,025 7,035 11,725 35,175

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

35,175 105,526 52,763 158,290 79,145 237,436 118,718 59,359 178,078 89,039 267,118 133,559 400,678 200,339 601,018 300,509 901,528 450,764 225,382 112,691 338,074 169,037 507,112 253,556 126,778 63,389 190,168 95,084 47,542 23,771 71,314 35,657 106,972 53,486 26,743 80,230 40,115 120,346 60,173 180,520 90,260 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339

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