3 × 7 × 17 × 521

Prime Factor Structure

Factorization String 3 × 7 × 17 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 300,672

Proper Divisor Sum 114,675

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #185993 ← → #186007

1 3 7 17 21 51 119 357 521 1,563 3,647 8,857 10,941 26,571 61,999 185,997

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

185,997 557,992 278,996 139,498 69,749 209,248 104,624 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108

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