3 × 5 × 7² × 13 × 37

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 13 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 727,776

Proper Divisor Sum 374,241

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #353531 ← → #353557

1 3 5 7 13 15 21 35 37 39 49 65 91 105 111 147 185 195 245 259 273 455 481 555 637 735 777 1,295 1,365 1,443 1,813 1,911 2,405 3,185 3,367 3,885 5,439 7,215 9,065 9,555 10,101 16,835 23,569 27,195 50,505 70,707 117,845 353,535

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

353,535 1,060,606 530,303 1,590,910 795,455 2,386,366 1,193,183 3,579,550 1,789,775 5,369,326 2,684,663 8,053,990 4,026,995 12,080,986 6,040,493 18,121,480 9,060,740 4,530,370 2,265,185 6,795,556 3,397,778 1,698,889 5,096,668 2,548,334 1,274,167 3,822,502 1,911,251 5,733,754 2,866,877 8,600,632 4,300,316 2,150,158 1,075,079 3,225,238 1,612,619 4,837,858 2,418,929 7,256,788 3,628,394 1,814,197 5,442,592 2,721,296 1,360,648 680,324 340,162 170,081 510,244 255,122 127,561 382,684 191,342 95,671 287,014 143,507 430,522 215,261 645,784 322,892 161,446 80,723

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