3³ × 5² × 7 × 127

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,269,760

Proper Divisor Sum 669,685

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #600073 ← → #600091

1 3 5 7 9 15 21 25 27 35 45 63 75 105 127 135 175 189 225 315 381 525 635 675 889 945 1,143 1,575 1,905 2,667 3,175 3,429 4,445 4,725 5,715 8,001 9,525 13,335 17,145 22,225 24,003 28,575 40,005 66,675 85,725 120,015 200,025 600,075

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

600,075 1,800,226 900,113 2,700,340 1,350,170 675,085 2,025,256 1,012,628 506,314 253,157 759,472 379,736 189,868 94,934 47,467 142,402 71,201 213,604 106,802 53,401 160,204 80,102 40,051 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.