3 × 5 × 7 × 13 × 37 × 89

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 37 × 89

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 9,192,960

Proper Divisor Sum 4,698,015

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4494937 ← → #4494947

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

4,494,945 13,484,836 6,742,418 3,371,209 10,113,628 5,056,814 2,528,407 7,585,222 3,792,611 11,377,834 5,688,917 17,066,752 8,533,376 4,266,688 2,133,344 1,066,672 533,336 266,668 133,334 66,667 200,002 100,001 300,004 150,002 75,001 225,004 112,502 56,251 168,754 84,377 253,132 126,566 63,283 189,850 94,925 284,776 142,388 71,194 35,597 106,792 53,396 26,698 13,349 40,048 20,024 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754

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