3⁴ × 7 × 13 × 29 × 37

Prime Factor Structure

Factorization String 3^4 × 7 × 13 × 29 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 15,449,280

Proper Divisor Sum 7,540,197

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7909081 ← → #7909087

1 3 7 9 13 21 27 29 37 39 63 81 87 91 111 117 189 203 259 261 273 333 351 377 481 567 609 777 783 819 999 1,053 1,073 1,131 1,443 1,827 2,331 2,349 2,457 2,639 2,997 3,219 3,367 3,393 4,329 5,481 6,993 7,371 7,511 7,917 9,657 10,101 10,179 12,987 13,949 16,443 20,979 22,533 23,751 28,971

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

7,909,083 23,727,250 11,863,625 35,590,876 17,795,438 8,897,719 26,693,158 13,346,579 40,039,738 20,019,869 60,059,608 30,029,804 15,014,902 7,507,451 22,522,354 11,261,177 33,783,532 16,891,766 8,445,883 25,337,650 12,668,825 38,006,476 19,003,238 9,501,619 28,504,858 14,252,429 42,757,288 21,378,644 10,689,322 5,344,661 16,033,984 8,016,992 4,008,496 2,004,248 1,002,124 501,062 250,531 751,594 375,797 1,127,392 563,696 281,848 140,924 70,462 35,231 105,694 52,847 158,542 79,271 237,814 118,907 356,722 178,361 535,084 267,542 133,771 401,314 200,657 601,972 300,986

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