2⁵ × 3³ × 43

Prime Factor Structure

Factorization String 2^5 × 3^3 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 110,880

Proper Divisor Sum 73,728

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #37139 ← → #37159

1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1,032 1,161 1,376 1,548 2,064 2,322 3,096 4,128 4,644 6,192 9,288 12,384 18,576 37,152

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

37,152 18,576 9,288 4,644 2,322 1,161 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500

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