2⁶ × 3 × 5² × 829

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 13,070,840

Proper Divisor Sum 9,091,640

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3979193 ← → #3979201

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 829 960 1,200 1,600 1,658 2,400 2,487 3,316 4,145 4,800 4,974 6,632 8,290 9,948 12,435 13,264 16,580 19,896 20,725 24,870 26,528 33,160 39,792

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

3,979,200 1,989,600 994,800 497,400 248,700 124,350 62,175 186,526 93,263 279,790 139,895 419,686 209,843 629,530 314,765 944,296 472,148 236,074 118,037 354,112 177,056 88,528 44,264 22,132 11,066 5,533 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270

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