3³ × 5 × 11² × 29 × 37

Prime Factor Structure

Factorization String 3^3 × 5 × 11^2 × 29 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 36,388,800

Proper Divisor Sum 18,861,345

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17527451 ← → #17527487

1 3 5 9 11 15 27 29 33 37 45 55 87 99 111 121 135 145 165 185 261 297 319 333 363 407 435 495 555 605 783 957 999 1,073 1,089 1,221 1,305 1,485 1,595 1,665 1,815 2,035 2,871 3,219 3,267 3,509 3,663 3,915 4,477 4,785 4,995 5,365 5,445 6,105 8,613 9,657 10,527 10,989 11,803 13,431

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

17,527,455 52,582,366 26,291,183 78,873,550 39,436,775 118,310,326 59,155,163 177,465,490 88,732,745 266,198,236 133,099,118 66,549,559 199,648,678 99,824,339 299,473,018 149,736,509 449,209,528 224,604,764 112,302,382 56,151,191 168,453,574 84,226,787 252,680,362 126,340,181 379,020,544 189,510,272 94,755,136 47,377,568 23,688,784 11,844,392 5,922,196 2,961,098 1,480,549 4,441,648 2,220,824 1,110,412 555,206 277,603 832,810 416,405 1,249,216 624,608 312,304 156,152 78,076 39,038 19,519 58,558 29,279 87,838 43,919 131,758 65,879 197,638 98,819 296,458 148,229 444,688 222,344 111,172

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