2⁸ × 5² × 67

Prime Factor Structure

Factorization String 2^8 × 5^2 × 67

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 1,077,188

Proper Divisor Sum 648,388

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #428797 ← → #428801

1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 128 134 160 200 256 268 320 335 400 536 640 670 800 1,072 1,280 1,340 1,600 1,675 2,144 2,680 3,200 3,350 4,288 5,360 6,400 6,700 8,576 10,720 13,400 17,152 21,440 26,800 42,880 53,600 85,760 107,200 214,400 428,800

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

428,800 214,400 107,200 53,600 26,800 13,400 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 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.