2² × 3⁵ × 17 × 127

Prime Factor Structure

Factorization String 2^2 × 3^5 × 17 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 5,870,592

Proper Divisor Sum 3,772,044

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2098541 ← → #2098553

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 127 153 162 204 243 254 306 324 381 459 486 508 612 762 918 972 1,143 1,377 1,524 1,836 2,159 2,286 2,754 3,429 4,131 4,318 4,572 5,508 6,477 6,858 8,262 8,636 10,287 12,954 13,716 16,524 19,431 20,574 25,908 30,861 38,862 41,148

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

2,098,548 1,049,274 524,637 1,573,912 786,956 393,478 196,739 590,218 295,109 885,328 442,664 221,332 110,666 55,333 166,000 83,000 41,500 20,750 10,375 31,126 15,563 46,690 23,345 70,036 35,018 17,509 52,528 26,264 13,132 6,566 3,283 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371

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