2⁶ × 3² × 67

Prime Factor Structure

Factorization String 2^6 × 3^2 × 67

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 112,268

Proper Divisor Sum 73,676

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #38569 ← → #38593

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1,072 1,206 1,608 2,144 2,412 3,216 4,288 4,824 6,432 9,648 12,864 19,296 38,592

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

38,592 19,296 9,648 4,824 2,412 1,206 603 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

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