2³ × 3⁴ × 7 × 13 × 131

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 13 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 26,832,960

Proper Divisor Sum 19,108,152

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7724807 ← → #7724819

Radix Representation

Decimal	7724808
Binary	11101011101111100001000 (23 bits)
Octal	0o35357410
Hexadecimal	0x75DF08

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 131 156 162 168 182 189 216 234 252 262 273 312 324 351 364 378 393 468 504 524 546 567 648 702 728 756 786

Collatz Trajectory (173 steps to reach 1)

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

7,724,808 3,862,404 1,931,202 965,601 2,896,804 1,448,402 724,201 2,172,604 1,086,302 543,151 1,629,454 814,727 2,444,182 1,222,091 3,666,274 1,833,137 5,499,412 2,749,706 1,374,853 4,124,560 2,062,280 1,031,140 515,570 257,785 773,356 386,678 193,339 580,018 290,009 870,028 435,014 217,507 652,522 326,261 978,784 489,392 244,696 122,348 61,174 30,587 91,762 45,881 137,644 68,822 34,411 103,234 51,617 154,852 77,426 38,713 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665 97,996 48,998

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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