3⁶ × 5 × 7²

Prime Factor Structure

Factorization String 3^6 × 5 × 7^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 373,806

Proper Divisor Sum 195,201

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #178603 ← → #178609

1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 405 441 567 729 735 945 1,215 1,323 1,701 2,205 2,835 3,645 3,969 5,103 6,615 8,505 11,907 19,845 25,515 35,721 59,535 178,605

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

178,605 535,816 267,908 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34

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