2³ × 3⁴ × 7 × 13 × 167

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 13 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 34,151,040

Proper Divisor Sum 24,303,384

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9847637 ← → #9847699

Radix Representation

Decimal	9847656
Binary	100101100100001101101000 (24 bits)
Octal	0o45441550
Hexadecimal	0x964368

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 91 104 108 117 126 156 162 167 168 182 189 216 234 252 273 312 324 334 351 364 378 468 501 504 546 567 648 668 702 728 756 819

Collatz Trajectory (176 steps to reach 1)

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

9,847,656 4,923,828 2,461,914 1,230,957 3,692,872 1,846,436 923,218 461,609 1,384,828 692,414 346,207 1,038,622 519,311 1,557,934 778,967 2,336,902 1,168,451 3,505,354 1,752,677 5,258,032 2,629,016 1,314,508 657,254 328,627 985,882 492,941 1,478,824 739,412 369,706 184,853 554,560 277,280 138,640 69,320 34,660 17,330 8,665 25,996 12,998 6,499 19,498 9,749 29,248 14,624 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290

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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