3⁴ × 11 × 13²

Prime Factor Structure

Factorization String 3^4 × 11 × 13^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 265,716

Proper Divisor Sum 115,137

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #150571 ← → #150583

1 3 9 11 13 27 33 39 81 99 117 143 169 297 351 429 507 891 1,053 1,287 1,521 1,859 3,861 4,563 5,577 11,583 13,689 16,731 50,193 150,579

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

150,579 451,738 225,869 677,608 338,804 169,402 84,701 254,104 127,052 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741

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