2³ × 5⁴ × 7 × 257

Prime Factor Structure

Factorization String 2^3 × 5^4 × 7 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 24,179,760

Proper Divisor Sum 15,184,760

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8994943 ← → #8995003

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 257 280 350 500 514 625 700 875 1,000 1,028 1,250 1,285 1,400 1,750 1,799 2,056 2,500 2,570 3,500 3,598 4,375 5,000 5,140 6,425 7,000 7,196 8,750 8,995 10,280 12,850 14,392 17,500 17,990 25,700 32,125 35,000 35,980 44,975

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

8,995,000 4,497,500 2,248,750 1,124,375 3,373,126 1,686,563 5,059,690 2,529,845 7,589,536 3,794,768 1,897,384 948,692 474,346 237,173 711,520 355,760 177,880 88,940 44,470 22,235 66,706 33,353 100,060 50,030 25,015 75,046 37,523 112,570 56,285 168,856 84,428 42,214 21,107 63,322 31,661 94,984 47,492 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586

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