3⁵ × 11 × 13

Prime Factor Structure

Factorization String 3^5 × 11 × 13

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 61,152

Proper Divisor Sum 26,403

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #34747 ← → #34757

1 3 9 11 13 27 33 39 81 99 117 143 243 297 351 429 891 1,053 1,287 2,673 3,159 3,861 11,583 34,749

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

34,749 104,248 52,124 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626

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