3³ × 5 × 7 × 11 × 71

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 11 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,658,880

Proper Divisor Sum 920,835

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #738043 ← → #738053

1 3 5 7 9 11 15 21 27 33 35 45 55 63 71 77 99 105 135 165 189 213 231 297 315 355 385 495 497 639 693 781 945 1,065 1,155 1,485 1,491 1,917 2,079 2,343 2,485 3,195 3,465 3,905 4,473 5,467 7,029 7,455 9,585 10,395 11,715 13,419 16,401 21,087 22,365 27,335 35,145 49,203 67,095 82,005

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

738,045 2,214,136 1,107,068 553,534 276,767 830,302 415,151 1,245,454 622,727 1,868,182 934,091 2,802,274 1,401,137 4,203,412 2,101,706 1,050,853 3,152,560 1,576,280 788,140 394,070 197,035 591,106 295,553 886,660 443,330 221,665 664,996 332,498 166,249 498,748 249,374 124,687 374,062 187,031 561,094 280,547 841,642 420,821 1,262,464 631,232 315,616 157,808 78,904 39,452 19,726 9,863 29,590 14,795 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682

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