3⁴ × 7 × 727

Prime Factor Structure

Factorization String 3^4 × 7 × 727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 704,704

Proper Divisor Sum 292,495

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #412201 ← → #412211

1 3 7 9 21 27 63 81 189 567 727 2,181 5,089 6,543 15,267 19,629 45,801 58,887 137,403 412,209

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

412,209 1,236,628 618,314 309,157 927,472 463,736 231,868 115,934 57,967 173,902 86,951 260,854 130,427 391,282 195,641 586,924 293,462 146,731 440,194 220,097 660,292 330,146 165,073 495,220 247,610 123,805 371,416 185,708 92,854 46,427 139,282 69,641 208,924 104,462 52,231 156,694 78,347 235,042 117,521 352,564 176,282 88,141 264,424 132,212 66,106 33,053 99,160 49,580 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689

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