3 × 5 × 7³ × 19

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 192,000

Proper Divisor Sum 94,245

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #97729 ← → #97771

1 3 5 7 15 19 21 35 49 57 95 105 133 147 245 285 343 399 665 735 931 1,029 1,715 1,995 2,793 4,655 5,145 6,517 13,965 19,551 32,585 97,755

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

97,755 293,266 146,633 439,900 219,950 109,975 329,926 164,963 494,890 247,445 742,336 371,168 185,584 92,792 46,396 23,198 11,599 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354

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