2⁵ × 3³ × 419

Prime Factor Structure

Factorization String 2^5 × 3^3 × 419

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,058,400

Proper Divisor Sum 696,384

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #362003 ← → #362027

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 419 432 838 864 1,257 1,676 2,514 3,352 3,771 5,028 6,704 7,542 10,056 11,313 13,408 15,084 20,112 22,626 30,168 40,224 45,252 60,336 90,504 120,672 181,008 362,016

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

362,016 181,008 90,504 45,252 22,626 11,313 33,940 16,970 8,485 25,456 12,728 6,364 3,182 1,591 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302

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