2 × 3³ × 29 × 31

Prime Factor Structure

Factorization String 2 × 3^3 × 29 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 115,200

Proper Divisor Sum 66,654

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #48541 ← → #48563

1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 522 558 783 837 899 1,566 1,674 1,798 2,697 5,394 8,091 16,182 24,273 48,546

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

48,546 24,273 72,820 36,410 18,205 54,616 27,308 13,654 6,827 20,482 10,241 30,724 15,362 7,681 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 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853

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