3³ × 5² × 7² × 127

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,047,040

Proper Divisor Sum 4,846,515

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4200523 ← → #4200527

1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 127 135 147 175 189 225 245 315 381 441 525 635 675 735 889 945 1,143 1,225 1,323 1,575 1,905 2,205 2,667 3,175 3,429 3,675 4,445 4,725 5,715 6,223 6,615 8,001 9,525 11,025 13,335 17,145 18,669 22,225 24,003 28,575 31,115 33,075 40,005 56,007 66,675

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

4,200,525 12,601,576 6,300,788 3,150,394 1,575,197 4,725,592 2,362,796 1,181,398 590,699 1,772,098 886,049 2,658,148 1,329,074 664,537 1,993,612 996,806 498,403 1,495,210 747,605 2,242,816 1,121,408 560,704 280,352 140,176 70,088 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656

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