3 × 5² × 7 × 127

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 126,976

Proper Divisor Sum 60,301

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #66653 ← → #66683

1 3 5 7 15 21 25 35 75 105 127 175 381 525 635 889 1,905 2,667 3,175 4,445 9,525 13,335 22,225 66,675

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

66,675 200,026 100,013 300,040 150,020 75,010 37,505 112,516 56,258 28,129 84,388 42,194 21,097 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542

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