3 × 5⁴ × 7 × 31

Prime Factor Structure

Factorization String 3 × 5^4 × 7 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 799,744

Proper Divisor Sum 392,869

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #406873 ← → #406883

1 3 5 7 15 21 25 31 35 75 93 105 125 155 175 217 375 465 525 625 651 775 875 1,085 1,875 2,325 2,625 3,255 3,875 4,375 5,425 11,625 13,125 16,275 19,375 27,125 58,125 81,375 135,625 406,875

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

406,875 1,220,626 610,313 1,830,940 915,470 457,735 1,373,206 686,603 2,059,810 1,029,905 3,089,716 1,544,858 772,429 2,317,288 1,158,644 579,322 289,661 868,984 434,492 217,246 108,623 325,870 162,935 488,806 244,403 733,210 366,605 1,099,816 549,908 274,954 137,477 412,432 206,216 103,108 51,554 25,777 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491

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