2 × 5² × 11 × 17 × 29 × 37

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 17 × 29 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 22,900,320

Proper Divisor Sum 12,867,770

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #10032541 ← → #10032553

1 2 5 10 11 17 22 25 29 34 37 50 55 58 74 85 110 145 170 185 187 275 290 319 370 374 407 425 493 550 629 638 725 814 850 925 935 986 1,073 1,258 1,450 1,595 1,850 1,870 2,035 2,146 2,465 3,145 3,190 4,070 4,675 4,930 5,365 5,423 6,290 6,919 7,975 9,350 10,175 10,730

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

10,032,550 5,016,275 15,048,826 7,524,413 22,573,240 11,286,620 5,643,310 2,821,655 8,464,966 4,232,483 12,697,450 6,348,725 19,046,176 9,523,088 4,761,544 2,380,772 1,190,386 595,193 1,785,580 892,790 446,395 1,339,186 669,593 2,008,780 1,004,390 502,195 1,506,586 753,293 2,259,880 1,129,940 564,970 282,485 847,456 423,728 211,864 105,932 52,966 26,483 79,450 39,725 119,176 59,588 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610

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