2³ × 3 × 5⁴ × 29

Prime Factor Structure

Factorization String 2^3 × 3 × 5^4 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,405,800

Proper Divisor Sum 970,800

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #434989 ← → #435037

1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 625 696 725 750 870 1,000 1,160 1,250 1,450 1,500 1,740 1,875 2,175 2,500 2,900 3,000 3,480 3,625 3,750 4,350 5,000

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

435,000 217,500 108,750 54,375 163,126 81,563 244,690 122,345 367,036 183,518 91,759 275,278 137,639 412,918 206,459 619,378 309,689 929,068 464,534 232,267 696,802 348,401 1,045,204 522,602 261,301 783,904 391,952 195,976 97,988 48,994 24,497 73,492 36,746 18,373 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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