3⁴ × 11 × 37

Prime Factor Structure

Factorization String 3^4 × 11 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 55,176

Proper Divisor Sum 22,209

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #32957 ← → #32969

1 3 9 11 27 33 37 81 99 111 297 333 407 891 999 1,221 2,997 3,663 10,989 32,967

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

32,967 98,902 49,451 148,354 74,177 222,532 111,266 55,633 166,900 83,450 41,725 125,176 62,588 31,294 15,647 46,942 23,471 70,414 35,207 105,622 52,811 158,434 79,217 237,652 118,826 59,413 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256

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