2⁵ × 3 × 7² × 11 × 17

Prime Factor Structure

Factorization String 2^5 × 3 × 7^2 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 3,102,624

Proper Divisor Sum 2,222,976

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #879629 ← → #879649

Radix Representation

Decimal	879648
Binary	11010110110000100000 (20 bits)
Octal	0o3266040
Hexadecimal	0xD6C20

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 49 51 56 66 68 77 84 88 96 98 102 112 119 132 136 147 154 168 176 187 196 204 224 231 238 264 272 294 308 336 352 357 374 392 408 462 476 528

Collatz Trajectory (144 steps to reach 1)

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

879,648 439,824 219,912 109,956 54,978 27,489 82,468 41,234 20,617 61,852 30,926 15,463 46,390 23,195 69,586 34,793 104,380 52,190 26,095 78,286 39,143 117,430 58,715 176,146 88,073 264,220 132,110 66,055 198,166 99,083 297,250 148,625 445,876 222,938 111,469 334,408 167,204 83,602 41,801 125,404 62,702 31,351 94,054 47,027 141,082 70,541 211,624 105,812 52,906 26,453 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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