3³ × 5 × 7 × 193 × 433

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 193 × 433

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 161,656,320

Proper Divisor Sum 82,683,615

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #78972697 ← → #78972709

1 3 5 7 9 15 21 27 35 45 63 105 135 189 193 315 433 579 945 965 1,299 1,351 1,737 2,165 2,895 3,031 3,897 4,053 5,211 6,495 6,755 8,685 9,093 11,691 12,159 15,155 19,485 20,265 26,055 27,279 36,477 45,465 58,455 60,795 81,837 83,569 136,395 182,385 250,707 409,185 417,845 584,983 752,121 1,253,535 1,754,949 2,256,363 2,924,915 3,760,605 5,264,847 8,774,745

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

78,972,705 236,918,116 118,459,058 59,229,529 177,688,588 88,844,294 44,422,147 133,266,442 66,633,221 199,899,664 99,949,832 49,974,916 24,987,458 12,493,729 37,481,188 18,740,594 9,370,297 28,110,892 14,055,446 7,027,723 21,083,170 10,541,585 31,624,756 15,812,378 7,906,189 23,718,568 11,859,284 5,929,642 2,964,821 8,894,464 4,447,232 2,223,616 1,111,808 555,904 277,952 138,976 69,488 34,744 17,372 8,686 4,343 13,030 6,515 19,546 9,773 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321

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