3 × 7² × 23 × 127

Prime Factor Structure

Factorization String 3 × 7^2 × 23 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 700,416

Proper Divisor Sum 271,029

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #429367 ← → #429389

1 3 7 21 23 49 69 127 147 161 381 483 889 1,127 2,667 2,921 3,381 6,223 8,763 18,669 20,447 61,341 143,129 429,387

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

429,387 1,288,162 644,081 1,932,244 966,122 483,061 1,449,184 724,592 362,296 181,148 90,574 45,287 135,862 67,931 203,794 101,897 305,692 152,846 76,423 229,270 114,635 343,906 171,953 515,860 257,930 128,965 386,896 193,448 96,724 48,362 24,181 72,544 36,272 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102 2,551 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

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