3 × 7² × 37 × 53

Prime Factor Structure

Factorization String 3 × 7^2 × 37 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 467,856

Proper Divisor Sum 179,589

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #288257 ← → #288283

1 3 7 21 37 49 53 111 147 159 259 371 777 1,113 1,813 1,961 2,597 5,439 5,883 7,791 13,727 41,181 96,089 288,267

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

288,267 864,802 432,401 1,297,204 648,602 324,301 972,904 486,452 243,226 121,613 364,840 182,420 91,210 45,605 136,816 68,408 34,204 17,102 8,551 25,654 12,827 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834

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