13² × 23²

Prime Factor Structure

Factorization String 13^2 × 23^2

Distinct Prime Factors 2

Square Status Yes (√89401 = 299)

Abundance Measure Deficient

Analytical Properties

Total Divisors 9

Divisor Sum (σ) 101,199

Proper Divisor Sum 11,798

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #89399 ← → #89413

1 13 23 169 299 529 3,887 6,877 89,401

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

89,401 268,204 134,102 67,051 201,154 100,577 301,732 150,866 75,433 226,300 113,150 56,575 169,726 84,863 254,590 127,295 381,886 190,943 572,830 286,415 859,246 429,623 1,288,870 644,435 1,933,306 966,653 2,899,960 1,449,980 724,990 362,495 1,087,486 543,743 1,631,230 815,615 2,446,846 1,223,423 3,670,270 1,835,135 5,505,406 2,752,703 8,258,110 4,129,055 12,387,166 6,193,583 18,580,750 9,290,375 27,871,126 13,935,563 41,806,690 20,903,345 62,710,036 31,355,018 15,677,509 47,032,528 23,516,264 11,758,132 5,879,066 2,939,533 8,818,600 4,409,300

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