3² × 5³ × 7² × 67

Prime Factor Structure

Factorization String 3^2 × 5^3 × 7^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 7,860,528

Proper Divisor Sum 4,167,153

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3693373 ← → #3693397

1 3 5 7 9 15 21 25 35 45 49 63 67 75 105 125 147 175 201 225 245 315 335 375 441 469 525 603 735 875 1,005 1,125 1,225 1,407 1,575 1,675 2,205 2,345 2,625 3,015 3,283 3,675 4,221 5,025 6,125 7,035 7,875 8,375 9,849 11,025 11,725 15,075 16,415 18,375 21,105 25,125 29,547 35,175 49,245 55,125

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

3,693,375 11,080,126 5,540,063 16,620,190 8,310,095 24,930,286 12,465,143 37,395,430 18,697,715 56,093,146 28,046,573 84,139,720 42,069,860 21,034,930 10,517,465 31,552,396 15,776,198 7,888,099 23,664,298 11,832,149 35,496,448 17,748,224 8,874,112 4,437,056 2,218,528 1,109,264 554,632 277,316 138,658 69,329 207,988 103,994 51,997 155,992 77,996 38,998 19,499 58,498 29,249 87,748 43,874 21,937 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652

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