2 × 3² × 7 × 23 × 251

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 23 × 251

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,886,976

Proper Divisor Sum 1,159,578

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #727369 ← → #727399

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

727,398 363,699 1,091,098 545,549 1,636,648 818,324 409,162 204,581 613,744 306,872 153,436 76,718 38,359 115,078 57,539 172,618 86,309 258,928 129,464 64,732 32,366 16,183 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701

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