5³ × 7 × 11² × 73

Prime Factor Structure

Factorization String 5^3 × 7 × 11^2 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,282,816

Proper Divisor Sum 4,553,941

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7728871 ← → #7728907

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

7,728,875 23,186,626 11,593,313 34,779,940 17,389,970 8,694,985 26,084,956 13,042,478 6,521,239 19,563,718 9,781,859 29,345,578 14,672,789 44,018,368 22,009,184 11,004,592 5,502,296 2,751,148 1,375,574 687,787 2,063,362 1,031,681 3,095,044 1,547,522 773,761 2,321,284 1,160,642 580,321 1,740,964 870,482 435,241 1,305,724 652,862 326,431 979,294 489,647 1,468,942 734,471 2,203,414 1,101,707 3,305,122 1,652,561 4,957,684 2,478,842 1,239,421 3,718,264 1,859,132 929,566 464,783 1,394,350 697,175 2,091,526 1,045,763 3,137,290 1,568,645 4,705,936 2,352,968 1,176,484 588,242 294,121

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