2⁵ × 3³ × 101

Prime Factor Structure

Factorization String 2^5 × 3^3 × 101

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 257,040

Proper Divisor Sum 169,776

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #87257 ← → #87277

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 101 108 144 202 216 288 303 404 432 606 808 864 909 1,212 1,616 1,818 2,424 2,727 3,232 3,636 4,848 5,454 7,272 9,696 10,908 14,544 21,816 29,088 43,632 87,264

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

87,264 43,632 21,816 10,908 5,454 2,727 8,182 4,091 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326

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