3² × 7² × 13 × 127

Prime Factor Structure

Factorization String 3^2 × 7^2 × 13 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,327,872

Proper Divisor Sum 599,781

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #728087 ← → #728113

1 3 7 9 13 21 39 49 63 91 117 127 147 273 381 441 637 819 889 1,143 1,651 1,911 2,667 4,953 5,733 6,223 8,001 11,557 14,859 18,669 34,671 56,007 80,899 104,013 242,697 728,091

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

728,091 2,184,274 1,092,137 3,276,412 1,638,206 819,103 2,457,310 1,228,655 3,685,966 1,842,983 5,528,950 2,764,475 8,293,426 4,146,713 12,440,140 6,220,070 3,110,035 9,330,106 4,665,053 13,995,160 6,997,580 3,498,790 1,749,395 5,248,186 2,624,093 7,872,280 3,936,140 1,968,070 984,035 2,952,106 1,476,053 4,428,160 2,214,080 1,107,040 553,520 276,760 138,380 69,190 34,595 103,786 51,893 155,680 77,840 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770

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