727²

Prime Factor Structure

Factorization String 727^2

Distinct Prime Factors 1

Square Status Yes (√528529 = 727)

Abundance Measure Deficient

Analytical Properties

Total Divisors 3

Divisor Sum (σ) 529,257

Proper Divisor Sum 728

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #528527 ← → #528559

1 727 528,529

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

528,529 1,585,588 792,794 396,397 1,189,192 594,596 297,298 148,649 445,948 222,974 111,487 334,462 167,231 501,694 250,847 752,542 376,271 1,128,814 564,407 1,693,222 846,611 2,539,834 1,269,917 3,809,752 1,904,876 952,438 476,219 1,428,658 714,329 2,142,988 1,071,494 535,747 1,607,242 803,621 2,410,864 1,205,432 602,716 301,358 150,679 452,038 226,019 678,058 339,029 1,017,088 508,544 254,272 127,136 63,568 31,784 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559

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