3 × 5 × 11² × 223

Prime Factor Structure

Factorization String 3 × 5 × 11^2 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 715,008

Proper Divisor Sum 310,263

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #404713 ← → #404773

1 3 5 11 15 33 55 121 165 223 363 605 669 1,115 1,815 2,453 3,345 7,359 12,265 26,983 36,795 80,949 134,915 404,745

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

404,745 1,214,236 607,118 303,559 910,678 455,339 1,366,018 683,009 2,049,028 1,024,514 512,257 1,536,772 768,386 384,193 1,152,580 576,290 288,145 864,436 432,218 216,109 648,328 324,164 162,082 81,041 243,124 121,562 60,781 182,344 91,172 45,586 22,793 68,380 34,190 17,095 51,286 25,643 76,930 38,465 115,396 57,698 28,849 86,548 43,274 21,637 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428

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