2⁸ × 7 × 13 × 17 × 23

Prime Factor Structure

Factorization String 2^8 × 7 × 13 × 17 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 24,724,224

Proper Divisor Sum 15,615,488

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9108731 ← → #9108751

Radix Representation

Decimal	9108736
Binary	100010101111110100000000 (24 bits)
Octal	0o42576400
Hexadecimal	0x8AFD00

Divisor Catalog (60 of 144)

1 2 4 7 8 13 14 16 17 23 26 28 32 34 46 52 56 64 68 91 92 104 112 119 128 136 161 182 184 208 221 224 238 256 272 299 322 364 368 391 416 442 448 476 544 598 644 728 736 782 832 884 896 952 1,088 1,196 1,288 1,456 1,472 1,547

Collatz Trajectory (80 steps to reach 1)

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

9,108,736 4,554,368 2,277,184 1,138,592 569,296 284,648 142,324 71,162 35,581 106,744 53,372 26,686 13,343 40,030 20,015 60,046 30,023 90,070 45,035 135,106 67,553 202,660 101,330 50,665 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634 162,317 486,952 243,476 121,738 60,869 182,608 91,304 45,652 22,826 11,413 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606

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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