2³ × 5 × 7 × 31 × 47

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 31 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,105,920

Proper Divisor Sum 697,960

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #407959 ← → #407969

1 2 4 5 7 8 10 14 20 28 31 35 40 47 56 62 70 94 124 140 155 188 217 235 248 280 310 329 376 434 470 620 658 868 940 1,085 1,240 1,316 1,457 1,645 1,736 1,880 2,170 2,632 2,914 3,290 4,340 5,828 6,580 7,285 8,680 10,199 11,656 13,160 14,570 20,398 29,140 40,796 50,995 58,280

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

407,960 203,980 101,990 50,995 152,986 76,493 229,480 114,740 57,370 28,685 86,056 43,028 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433

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