3 × 5 × 7 × 11 × 23 × 29

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 23 × 29

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,658,880

Proper Divisor Sum 888,495

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #770359 ← → #770387

1 3 5 7 11 15 21 23 29 33 35 55 69 77 87 105 115 145 161 165 203 231 253 319 345 385 435 483 609 667 759 805 957 1,015 1,155 1,265 1,595 1,771 2,001 2,233 2,415 3,045 3,335 3,795 4,669 4,785 5,313 6,699 7,337 8,855 10,005 11,165 14,007 22,011 23,345 26,565 33,495 36,685 51,359 70,035

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

770,385 2,311,156 1,155,578 577,789 1,733,368 866,684 433,342 216,671 650,014 325,007 975,022 487,511 1,462,534 731,267 2,193,802 1,096,901 3,290,704 1,645,352 822,676 411,338 205,669 617,008 308,504 154,252 77,126 38,563 115,690 57,845 173,536 86,768 43,384 21,692 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888

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