3² × 11 × 13 × 61

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 135,408

Proper Divisor Sum 56,901

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #78497 ← → #78509

1 3 9 11 13 33 39 61 99 117 143 183 429 549 671 793 1,287 2,013 2,379 6,039 7,137 8,723 26,169 78,507

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

78,507 235,522 117,761 353,284 176,642 88,321 264,964 132,482 66,241 198,724 99,362 49,681 149,044 74,522 37,261 111,784 55,892 27,946 13,973 41,920 20,960 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500

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