3 × 5 × 7 × 41 × 47²

Prime Factor Structure

Factorization String 3 × 5 × 7 × 41 × 47^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,200,448

Proper Divisor Sum 8,690,703

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9509729 ← → #9509761

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

9,509,745 28,529,236 14,264,618 7,132,309 21,396,928 10,698,464 5,349,232 2,674,616 1,337,308 668,654 334,327 1,002,982 501,491 1,504,474 752,237 2,256,712 1,128,356 564,178 282,089 846,268 423,134 211,567 634,702 317,351 952,054 476,027 1,428,082 714,041 2,142,124 1,071,062 535,531 1,606,594 803,297 2,409,892 1,204,946 602,473 1,807,420 903,710 451,855 1,355,566 677,783 2,033,350 1,016,675 3,050,026 1,525,013 4,575,040 2,287,520 1,143,760 571,880 285,940 142,970 71,485 214,456 107,228 53,614 26,807 80,422 40,211 120,634 60,317

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