3³ × 5² × 7 × 83

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 833,280

Proper Divisor Sum 441,105

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #392159 ← → #392177

1 3 5 7 9 15 21 25 27 35 45 63 75 83 105 135 175 189 225 249 315 415 525 581 675 747 945 1,245 1,575 1,743 2,075 2,241 2,905 3,735 4,725 5,229 6,225 8,715 11,205 14,525 15,687 18,675 26,145 43,575 56,025 78,435 130,725 392,175

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

392,175 1,176,526 588,263 1,764,790 882,395 2,647,186 1,323,593 3,970,780 1,985,390 992,695 2,978,086 1,489,043 4,467,130 2,233,565 6,700,696 3,350,348 1,675,174 837,587 2,512,762 1,256,381 3,769,144 1,884,572 942,286 471,143 1,413,430 706,715 2,120,146 1,060,073 3,180,220 1,590,110 795,055 2,385,166 1,192,583 3,577,750 1,788,875 5,366,626 2,683,313 8,049,940 4,024,970 2,012,485 6,037,456 3,018,728 1,509,364 754,682 377,341 1,132,024 566,012 283,006 141,503 424,510 212,255 636,766 318,383 955,150 477,575 1,432,726 716,363 2,149,090 1,074,545 3,223,636

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