2² × 3 × 5 × 7 × 29 × 827

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 29 × 827

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 33,384,960

Proper Divisor Sum 23,312,100

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #10072837 ← → #10072871

1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 827 870 1,015 1,218 1,654 1,740 2,030 2,436 2,481 3,045 3,308 4,060 4,135 4,962 5,789 6,090 8,270 9,924 11,578 12,180 12,405 16,540

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

10,072,860 5,036,430 2,518,215 7,554,646 3,777,323 11,331,970 5,665,985 16,997,956 8,498,978 4,249,489 12,748,468 6,374,234 3,187,117 9,561,352 4,780,676 2,390,338 1,195,169 3,585,508 1,792,754 896,377 2,689,132 1,344,566 672,283 2,016,850 1,008,425 3,025,276 1,512,638 756,319 2,268,958 1,134,479 3,403,438 1,701,719 5,105,158 2,552,579 7,657,738 3,828,869 11,486,608 5,743,304 2,871,652 1,435,826 717,913 2,153,740 1,076,870 538,435 1,615,306 807,653 2,422,960 1,211,480 605,740 302,870 151,435 454,306 227,153 681,460 340,730 170,365 511,096 255,548 127,774 63,887

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