2 × 3⁸ × 5503

Prime Factor Structure

Factorization String 2 × 3^8 × 5503

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 162,494,592

Proper Divisor Sum 90,284,226

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #72210349 ← → #72210367

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

72,210,366 36,105,183 108,315,550 54,157,775 162,473,326 81,236,663 243,709,990 121,854,995 365,564,986 182,782,493 548,347,480 274,173,740 137,086,870 68,543,435 205,630,306 102,815,153 308,445,460 154,222,730 77,111,365 231,334,096 115,667,048 57,833,524 28,916,762 14,458,381 43,375,144 21,687,572 10,843,786 5,421,893 16,265,680 8,132,840 4,066,420 2,033,210 1,016,605 3,049,816 1,524,908 762,454 381,227 1,143,682 571,841 1,715,524 857,762 428,881 1,286,644 643,322 321,661 964,984 482,492 241,246 120,623 361,870 180,935 542,806 271,403 814,210 407,105 1,221,316 610,658 305,329 915,988 457,994

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