3³ × 5 × 7 × 11 × 67

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 11 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,566,720

Proper Divisor Sum 870,255

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #696457 ← → #696481

1 3 5 7 9 11 15 21 27 33 35 45 55 63 67 77 99 105 135 165 189 201 231 297 315 335 385 469 495 603 693 737 945 1,005 1,155 1,407 1,485 1,809 2,079 2,211 2,345 3,015 3,465 3,685 4,221 5,159 6,633 7,035 9,045 10,395 11,055 12,663 15,477 19,899 21,105 25,795 33,165 46,431 63,315 77,385

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

696,465 2,089,396 1,044,698 522,349 1,567,048 783,524 391,762 195,881 587,644 293,822 146,911 440,734 220,367 661,102 330,551 991,654 495,827 1,487,482 743,741 2,231,224 1,115,612 557,806 278,903 836,710 418,355 1,255,066 627,533 1,882,600 941,300 470,650 235,325 705,976 352,988 176,494 88,247 264,742 132,371 397,114 198,557 595,672 297,836 148,918 74,459 223,378 111,689 335,068 167,534 83,767 251,302 125,651 376,954 188,477 565,432 282,716 141,358 70,679 212,038 106,019 318,058 159,029

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