3⁸ × 7²

Prime Factor Structure

Factorization String 3^8 × 7^2

Distinct Prime Factors 2

Square Status Yes (√321489 = 567)

Abundance Measure Deficient

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 560,937

Proper Divisor Sum 239,448

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #321469 ← → #321509

1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1,323 1,701 2,187 3,969 5,103 6,561 11,907 15,309 35,721 45,927 107,163 321,489

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

321,489 964,468 482,234 241,117 723,352 361,676 180,838 90,419 271,258 135,629 406,888 203,444 101,722 50,861 152,584 76,292 38,146 19,073 57,220 28,610 14,305 42,916 21,458 10,729 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340

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