3⁴ × 11 × 193

Prime Factor Structure

Factorization String 3^4 × 11 × 193

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 281,688

Proper Divisor Sum 109,725

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #171947 ← → #172001

1 3 9 11 27 33 81 99 193 297 579 891 1,737 2,123 5,211 6,369 15,633 19,107 57,321 171,963

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

171,963 515,890 257,945 773,836 386,918 193,459 580,378 290,189 870,568 435,284 217,642 108,821 326,464 163,232 81,616 40,808 20,404 10,202 5,101 15,304 7,652 3,826 1,913 5,740 2,870 1,435 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 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364

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