3 × 5² × 7 × 11 × 101

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 11 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,214,208

Proper Divisor Sum 630,933

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #583273 ← → #583279

1 3 5 7 11 15 21 25 33 35 55 75 77 101 105 165 175 231 275 303 385 505 525 707 825 1,111 1,155 1,515 1,925 2,121 2,525 3,333 3,535 5,555 5,775 7,575 7,777 10,605 16,665 17,675 23,331 27,775 38,885 53,025 83,325 116,655 194,425 583,275

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

583,275 1,749,826 874,913 2,624,740 1,312,370 656,185 1,968,556 984,278 492,139 1,476,418 738,209 2,214,628 1,107,314 553,657 1,660,972 830,486 415,243 1,245,730 622,865 1,868,596 934,298 467,149 1,401,448 700,724 350,362 175,181 525,544 262,772 131,386 65,693 197,080 98,540 49,270 24,635 73,906 36,953 110,860 55,430 27,715 83,146 41,573 124,720 62,360 31,180 15,590 7,795 23,386 11,693 35,080 17,540 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701

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