3 × 7² × 29 × 107

Prime Factor Structure

Factorization String 3 × 7^2 × 29 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 738,720

Proper Divisor Sum 282,579

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #456119 ← → #456149

1 3 7 21 29 49 87 107 147 203 321 609 749 1,421 2,247 3,103 4,263 5,243 9,309 15,729 21,721 65,163 152,047 456,141

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

456,141 1,368,424 684,212 342,106 171,053 513,160 256,580 128,290 64,145 192,436 96,218 48,109 144,328 72,164 36,082 18,041 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485

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