3 × 13² × 1009

Prime Factor Structure

Factorization String 3 × 13^2 × 1009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 739,320

Proper Divisor Sum 227,757

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #511559 ← → #511573

1 3 13 39 169 507 1,009 3,027 13,117 39,351 170,521 511,563

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

511,563 1,534,690 767,345 2,302,036 1,151,018 575,509 1,726,528 863,264 431,632 215,816 107,908 53,954 26,977 80,932 40,466 20,233 60,700 30,350 15,175 45,526 22,763 68,290 34,145 102,436 51,218 25,609 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474

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