3⁵ × 5 × 17 × 23 × 37

Prime Factor Structure

Factorization String 3^5 × 5 × 17 × 23 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 35,852,544

Proper Divisor Sum 18,275,139

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17577377 ← → #17577407

1 3 5 9 15 17 23 27 37 45 51 69 81 85 111 115 135 153 185 207 243 255 333 345 391 405 459 555 621 629 765 851 999 1,035 1,173 1,215 1,377 1,665 1,863 1,887 1,955 2,295 2,553 2,997 3,105 3,145 3,519 4,131 4,255 4,995 5,589 5,661 5,865 6,885 7,659 8,991 9,315 9,435 10,557 12,765

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

17,577,405 52,732,216 26,366,108 13,183,054 6,591,527 19,774,582 9,887,291 29,661,874 14,830,937 44,492,812 22,246,406 11,123,203 33,369,610 16,684,805 50,054,416 25,027,208 12,513,604 6,256,802 3,128,401 9,385,204 4,692,602 2,346,301 7,038,904 3,519,452 1,759,726 879,863 2,639,590 1,319,795 3,959,386 1,979,693 5,939,080 2,969,540 1,484,770 742,385 2,227,156 1,113,578 556,789 1,670,368 835,184 417,592 208,796 104,398 52,199 156,598 78,299 234,898 117,449 352,348 176,174 88,087 264,262 132,131 396,394 198,197 594,592 297,296 148,648 74,324 37,162 18,581

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