3⁴ × 7³ × 11 × 13

Prime Factor Structure

Factorization String 3^4 × 7^3 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 8,131,200

Proper Divisor Sum 4,158,231

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3972959 ← → #3972973

1 3 7 9 11 13 21 27 33 39 49 63 77 81 91 99 117 143 147 189 231 273 297 343 351 429 441 539 567 637 693 819 891 1,001 1,029 1,053 1,287 1,323 1,617 1,911 2,079 2,457 3,003 3,087 3,773 3,861 3,969 4,459 4,851 5,733 6,237 7,007 7,371 9,009 9,261 11,319 11,583 13,377 14,553 17,199

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

3,972,969 11,918,908 5,959,454 2,979,727 8,939,182 4,469,591 13,408,774 6,704,387 20,113,162 10,056,581 30,169,744 15,084,872 7,542,436 3,771,218 1,885,609 5,656,828 2,828,414 1,414,207 4,242,622 2,121,311 6,363,934 3,181,967 9,545,902 4,772,951 14,318,854 7,159,427 21,478,282 10,739,141 32,217,424 16,108,712 8,054,356 4,027,178 2,013,589 6,040,768 3,020,384 1,510,192 755,096 377,548 188,774 94,387 283,162 141,581 424,744 212,372 106,186 53,093 159,280 79,640 39,820 19,910 9,955 29,866 14,933 44,800 22,400 11,200 5,600 2,800 1,400 700

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