3⁵ × 5 × 7 × 29 × 71

Prime Factor Structure

Factorization String 3^5 × 5 × 7 × 29 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 37,739,520

Proper Divisor Sum 20,227,725

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17511779 ← → #17511799

1 3 5 7 9 15 21 27 29 35 45 63 71 81 87 105 135 145 189 203 213 243 261 315 355 405 435 497 567 609 639 783 945 1,015 1,065 1,215 1,305 1,491 1,701 1,827 1,917 2,059 2,349 2,485 2,835 3,045 3,195 3,915 4,473 5,481 5,751 6,177 7,047 7,455 8,505 9,135 9,585 10,295 11,745 13,419

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

17,511,795 52,535,386 26,267,693 78,803,080 39,401,540 19,700,770 9,850,385 29,551,156 14,775,578 7,387,789 22,163,368 11,081,684 5,540,842 2,770,421 8,311,264 4,155,632 2,077,816 1,038,908 519,454 259,727 779,182 389,591 1,168,774 584,387 1,753,162 876,581 2,629,744 1,314,872 657,436 328,718 164,359 493,078 246,539 739,618 369,809 1,109,428 554,714 277,357 832,072 416,036 208,018 104,009 312,028 156,014 78,007 234,022 117,011 351,034 175,517 526,552 263,276 131,638 65,819 197,458 98,729 296,188 148,094 74,047 222,142 111,071

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