2⁵ × 3² × 17 × 73

Prime Factor Structure

Factorization String 2^5 × 3^2 × 17 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,090,908

Proper Divisor Sum 733,500

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #357389 ← → #357421

1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 73 96 102 136 144 146 153 204 219 272 288 292 306 408 438 544 584 612 657 816 876 1,168 1,224 1,241 1,314 1,632 1,752 2,336 2,448 2,482 2,628 3,504 3,723 4,896 4,964 5,256 7,008 7,446 9,928 10,512 11,169

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

357,408 178,704 89,352 44,676 22,338 11,169 33,508 16,754 8,377 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272

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