3⁴ × 5 × 7 × 13 × 61

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 13 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 5,041,344

Proper Divisor Sum 2,793,189

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2248139 ← → #2248163

1 3 5 7 9 13 15 21 27 35 39 45 61 63 65 81 91 105 117 135 183 189 195 273 305 315 351 405 427 455 549 567 585 793 819 915 945 1,053 1,281 1,365 1,647 1,755 2,135 2,379 2,457 2,745 2,835 3,843 3,965 4,095 4,941 5,265 5,551 6,405 7,137 7,371 8,235 11,529 11,895 12,285

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

2,248,155 6,744,466 3,372,233 10,116,700 5,058,350 2,529,175 7,587,526 3,793,763 11,381,290 5,690,645 17,071,936 8,535,968 4,267,984 2,133,992 1,066,996 533,498 266,749 800,248 400,124 200,062 100,031 300,094 150,047 450,142 225,071 675,214 337,607 1,012,822 506,411 1,519,234 759,617 2,278,852 1,139,426 569,713 1,709,140 854,570 427,285 1,281,856 640,928 320,464 160,232 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754 2,377

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