3 × 5 × 7² × 13² × 23

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 13^2 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 6,008,256

Proper Divisor Sum 3,151,311

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2856923 ← → #2856961

1 3 5 7 13 15 21 23 35 39 49 65 69 91 105 115 147 161 169 195 245 273 299 345 455 483 507 637 735 805 845 897 1,127 1,183 1,365 1,495 1,911 2,093 2,415 2,535 3,185 3,381 3,549 3,887 4,485 5,635 5,915 6,279 8,281 9,555 10,465 11,661 14,651 16,905 17,745 19,435 24,843 27,209 31,395 41,405

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

2,856,945 8,570,836 4,285,418 2,142,709 6,428,128 3,214,064 1,607,032 803,516 401,758 200,879 602,638 301,319 903,958 451,979 1,355,938 677,969 2,033,908 1,016,954 508,477 1,525,432 762,716 381,358 190,679 572,038 286,019 858,058 429,029 1,287,088 643,544 321,772 160,886 80,443 241,330 120,665 361,996 180,998 90,499 271,498 135,749 407,248 203,624 101,812 50,906 25,453 76,360 38,180 19,090 9,545 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124

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