2² × 5² × 7 × 19 × 31

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 19 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,111,040

Proper Divisor Sum 698,740

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #412289 ← → #412303

1 2 4 5 7 10 14 19 20 25 28 31 35 38 50 62 70 76 95 100 124 133 140 155 175 190 217 266 310 350 380 434 475 532 589 620 665 700 775 868 950 1,085 1,178 1,330 1,550 1,900 2,170 2,356 2,660 2,945 3,100 3,325 4,123 4,340 5,425 5,890 6,650 8,246 10,850 11,780

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

412,300 206,150 103,075 309,226 154,613 463,840 231,920 115,960 57,980 28,990 14,495 43,486 21,743 65,230 32,615 97,846 48,923 146,770 73,385 220,156 110,078 55,039 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922 1,057,961 3,173,884 1,586,942 793,471 2,380,414 1,190,207 3,570,622 1,785,311 5,355,934 2,677,967 8,033,902 4,016,951 12,050,854 6,025,427 18,076,282 9,038,141 27,114,424 13,557,212 6,778,606 3,389,303

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