2⁴ × 5² × 7² × 101

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7^2 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 5,587,254

Proper Divisor Sum 3,607,654

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1979581 ← → #1979609

1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 101 112 140 175 196 200 202 245 280 350 392 400 404 490 505 560 700 707 784 808 980 1,010 1,225 1,400 1,414 1,616 1,960 2,020 2,450 2,525 2,800 2,828 3,535 3,920 4,040 4,900 4,949 5,050 5,656

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

1,979,600 989,800 494,900 247,450 123,725 371,176 185,588 92,794 46,397 139,192 69,596 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 11,177 33,532 16,766 8,383 25,150 12,575

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