2³ × 3⁴ × 7 × 419

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 6,098,400

Proper Divisor Sum 4,197,816

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1900571 ← → #1900597

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 419 504 567 648 756 838 1,134 1,257 1,512 1,676 2,268 2,514 2,933 3,352 3,771 4,536 5,028 5,866 7,542 8,799 10,056 11,313 11,732 15,084 17,598 22,626 23,464 26,397

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

1,900,584 950,292 475,146 237,573 712,720 356,360 178,180 89,090 44,545 133,636 66,818 33,409 100,228 50,114 25,057 75,172 37,586 18,793 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076

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