2 × 3³ × 7 × 263 × 503

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 263 × 503

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 127,733,760

Proper Divisor Sum 77,728,518

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #50005237 ← → #50005247

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 263 378 503 526 789 1,006 1,509 1,578 1,841 2,367 3,018 3,521 3,682 4,527 4,734 5,523 7,042 7,101 9,054 10,563 11,046 13,581 14,202 16,569 21,126 27,162 31,689 33,138 49,707 63,378 95,067 99,414 132,289 190,134 264,578 396,867 793,734 926,023 1,190,601 1,852,046 2,381,202 2,778,069 3,571,803 5,556,138 7,143,606

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

50,005,242 25,002,621 75,007,864 37,503,932 18,751,966 9,375,983 28,127,950 14,063,975 42,191,926 21,095,963 63,287,890 31,643,945 94,931,836 47,465,918 23,732,959 71,198,878 35,599,439 106,798,318 53,399,159 160,197,478 80,098,739 240,296,218 120,148,109 360,444,328 180,222,164 90,111,082 45,055,541 135,166,624 67,583,312 33,791,656 16,895,828 8,447,914 4,223,957 12,671,872 6,335,936 3,167,968 1,583,984 791,992 395,996 197,998 98,999 296,998 148,499 445,498 222,749 668,248 334,124 167,062 83,531 250,594 125,297 375,892 187,946 93,973 281,920 140,960 70,480 35,240 17,620 8,810

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