3 × 5² × 7² × 113

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 805,752

Proper Divisor Sum 390,477

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #415273 ← → #415319

1 3 5 7 15 21 25 35 49 75 105 113 147 175 245 339 525 565 735 791 1,225 1,695 2,373 2,825 3,675 3,955 5,537 8,475 11,865 16,611 19,775 27,685 59,325 83,055 138,425 415,275

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

415,275 1,245,826 622,913 1,868,740 934,370 467,185 1,401,556 700,778 350,389 1,051,168 525,584 262,792 131,396 65,698 32,849 98,548 49,274 24,637 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644

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