3 × 5 × 7 × 11 × 29

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 69,120

Proper Divisor Sum 35,625

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #33493 ← → #33503

1 3 5 7 11 15 21 29 33 35 55 77 87 105 145 165 203 231 319 385 435 609 957 1,015 1,155 1,595 2,233 3,045 4,785 6,699 11,165 33,495

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

33,495 100,486 50,243 150,730 75,365 226,096 113,048 56,524 28,262 14,131 42,394 21,197 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282

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