3⁴ × 37 × 131

Prime Factor Structure

Factorization String 3^4 × 37 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 606,936

Proper Divisor Sum 214,329

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #392599 ← → #392611

1 3 9 27 37 81 111 131 333 393 999 1,179 2,997 3,537 4,847 10,611 14,541 43,623 130,869 392,607

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

392,607 1,177,822 588,911 1,766,734 883,367 2,650,102 1,325,051 3,975,154 1,987,577 5,962,732 2,981,366 1,490,683 4,472,050 2,236,025 6,708,076 3,354,038 1,677,019 5,031,058 2,515,529 7,546,588 3,773,294 1,886,647 5,659,942 2,829,971 8,489,914 4,244,957 12,734,872 6,367,436 3,183,718 1,591,859 4,775,578 2,387,789 7,163,368 3,581,684 1,790,842 895,421 2,686,264 1,343,132 671,566 335,783 1,007,350 503,675 1,511,026 755,513 2,266,540 1,133,270 566,635 1,699,906 849,953 2,549,860 1,274,930 637,465 1,912,396 956,198 478,099 1,434,298 717,149 2,151,448 1,075,724 537,862

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