3 × 5 × 7³ × 41

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 403,200

Proper Divisor Sum 192,255

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #210943 ← → #210961

1 3 5 7 15 21 35 41 49 105 123 147 205 245 287 343 615 735 861 1,029 1,435 1,715 2,009 4,305 5,145 6,027 10,045 14,063 30,135 42,189 70,315 210,945

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

210,945 632,836 316,418 158,209 474,628 237,314 118,657 355,972 177,986 88,993 266,980 133,490 66,745 200,236 100,118 50,059 150,178 75,089 225,268 112,634 56,317 168,952 84,476 42,238 21,119 63,358 31,679 95,038 47,519 142,558 71,279 213,838 106,919 320,758 160,379 481,138 240,569 721,708 360,854 180,427 541,282 270,641 811,924 405,962 202,981 608,944 304,472 152,236 76,118 38,059 114,178 57,089 171,268 85,634 42,817 128,452 64,226 32,113 96,340 48,170

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