3³ × 5 × 13 × 17 × 23

Prime Factor Structure

Factorization String 3^3 × 5 × 13 × 17 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,451,520

Proper Divisor Sum 765,315

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #686201 ← → #686209

1 3 5 9 13 15 17 23 27 39 45 51 65 69 85 115 117 135 153 195 207 221 255 299 345 351 391 459 585 621 663 765 897 1,035 1,105 1,173 1,495 1,755 1,955 1,989 2,295 2,691 3,105 3,315 3,519 4,485 5,083 5,865 5,967 8,073 9,945 10,557 13,455 15,249 17,595 25,415 29,835 40,365 45,747 52,785

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

686,205 2,058,616 1,029,308 514,654 257,327 771,982 385,991 1,157,974 578,987 1,736,962 868,481 2,605,444 1,302,722 651,361 1,954,084 977,042 488,521 1,465,564 732,782 366,391 1,099,174 549,587 1,648,762 824,381 2,473,144 1,236,572 618,286 309,143 927,430 463,715 1,391,146 695,573 2,086,720 1,043,360 521,680 260,840 130,420 65,210 32,605 97,816 48,908 24,454 12,227 36,682 18,341 55,024 27,512 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122

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