2³ × 3⁴ × 7 × 11 × 173

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 11 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 30,317,760

Proper Divisor Sum 21,685,752

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8632003 ← → #8632009

Radix Representation

Decimal	8632008
Binary	100000111011011011001000 (24 bits)
Octal	0o40733310
Hexadecimal	0x83B6C8

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 173 189 198 216 231 252 264 297 308 324 346 378 396 462 504 519 567 594 616 648 692 693 756

Collatz Trajectory (274 steps to reach 1)

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

8,632,008 4,316,004 2,158,002 1,079,001 3,237,004 1,618,502 809,251 2,427,754 1,213,877 3,641,632 1,820,816 910,408 455,204 227,602 113,801 341,404 170,702 85,351 256,054 128,027 384,082 192,041 576,124 288,062 144,031 432,094 216,047 648,142 324,071 972,214 486,107 1,458,322 729,161 2,187,484 1,093,742 546,871 1,640,614 820,307 2,460,922 1,230,461 3,691,384 1,845,692 922,846 461,423 1,384,270 692,135 2,076,406 1,038,203 3,114,610 1,557,305 4,671,916 2,335,958 1,167,979 3,503,938 1,751,969 5,255,908 2,627,954 1,313,977 3,941,932 1,970,966

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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