3 × 5 × 7 × 11 × 37

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 87,552

Proper Divisor Sum 44,817

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #42727 ← → #42737

1 3 5 7 11 15 21 33 35 37 55 77 105 111 165 185 231 259 385 407 555 777 1,155 1,221 1,295 2,035 2,849 3,885 6,105 8,547 14,245 42,735

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

42,735 128,206 64,103 192,310 96,155 288,466 144,233 432,700 216,350 108,175 324,526 162,263 486,790 243,395 730,186 365,093 1,095,280 547,640 273,820 136,910 68,455 205,366 102,683 308,050 154,025 462,076 231,038 115,519 346,558 173,279 519,838 259,919 779,758 389,879 1,169,638 584,819 1,754,458 877,229 2,631,688 1,315,844 657,922 328,961 986,884 493,442 246,721 740,164 370,082 185,041 555,124 277,562 138,781 416,344 208,172 104,086 52,043 156,130 78,065 234,196 117,098 58,549

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