2⁵ × 5² × 17 × 61

Prime Factor Structure

Factorization String 2^5 × 5^2 × 17 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,179,548

Proper Divisor Sum 1,349,948

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #829561 ← → #829601

1 2 4 5 8 10 16 17 20 25 32 34 40 50 61 68 80 85 100 122 136 160 170 200 244 272 305 340 400 425 488 544 610 680 800 850 976 1,037 1,220 1,360 1,525 1,700 1,952 2,074 2,440 2,720 3,050 3,400 4,148 4,880 5,185 6,100 6,800 8,296 9,760 10,370 12,200 13,600 16,592 20,740

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

829,600 414,800 207,400 103,700 51,850 25,925 77,776 38,888 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881

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