2 × 3 × 5 × 7³ × 61

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^3 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,785,600

Proper Divisor Sum 1,157,910

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #627673 ← → #627709

1 2 3 5 6 7 10 14 15 21 30 35 42 49 61 70 98 105 122 147 183 210 245 294 305 343 366 427 490 610 686 735 854 915 1,029 1,281 1,470 1,715 1,830 2,058 2,135 2,562 2,989 3,430 4,270 5,145 5,978 6,405 8,967 10,290 12,810 14,945 17,934 20,923 29,890 41,846 44,835 62,769 89,670 104,615

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

627,690 313,845 941,536 470,768 235,384 117,692 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634 715,817 2,147,452 1,073,726 536,863 1,610,590 805,295 2,415,886 1,207,943 3,623,830 1,811,915 5,435,746 2,717,873 8,153,620 4,076,810 2,038,405 6,115,216 3,057,608 1,528,804 764,402 382,201 1,146,604 573,302 286,651 859,954

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