2³ × 3² × 7 × 13 × 109

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,402,400

Proper Divisor Sum 1,688,232

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #714163 ← → #714169

Radix Representation

Decimal	714168
Binary	10101110010110111000 (20 bits)
Octal	0o2562670
Hexadecimal	0xAE5B8

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 109 117 126 156 168 182 218 234 252 273 312 327 364 436 468 504 546 654 728 763 819 872 936 981 1,092 1,308 1,417 1,526 1,638 1,962 2,184 2,289 2,616

Collatz Trajectory (123 steps to reach 1)

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

714,168 357,084 178,542 89,271 267,814 133,907 401,722 200,861 602,584 301,292 150,646 75,323 225,970 112,985 338,956 169,478 84,739 254,218 127,109 381,328 190,664 95,332 47,666 23,833 71,500 35,750 17,875 53,626 26,813 80,440 40,220 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938 16,969 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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