3 × 7³ × 727

Prime Factor Structure

Factorization String 3 × 7^3 × 727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,164,800

Proper Divisor Sum 416,717

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #748057 ← → #748091

1 3 7 21 49 147 343 727 1,029 2,181 5,089 15,267 35,623 106,869 249,361 748,083

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

748,083 2,244,250 1,122,125 3,366,376 1,683,188 841,594 420,797 1,262,392 631,196 315,598 157,799 473,398 236,699 710,098 355,049 1,065,148 532,574 266,287 798,862 399,431 1,198,294 599,147 1,797,442 898,721 2,696,164 1,348,082 674,041 2,022,124 1,011,062 505,531 1,516,594 758,297 2,274,892 1,137,446 568,723 1,706,170 853,085 2,559,256 1,279,628 639,814 319,907 959,722 479,861 1,439,584 719,792 359,896 179,948 89,974 44,987 134,962 67,481 202,444 101,222 50,611 151,834 75,917 227,752 113,876 56,938 28,469

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