2⁵ × 3 × 7 × 13² × 79

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 13^2 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 29,514,240

Proper Divisor Sum 20,542,368

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8971849 ← → #8971873

Radix Representation

Decimal	8971872
Binary	100010001110011001100000 (24 bits)
Octal	0o42163140
Hexadecimal	0x88E660

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 79 84 91 96 104 112 156 158 168 169 182 208 224 237 273 312 316 336 338 364 416 474 507 546 553 624 632 672 676 728 948 1,014 1,027 1,092 1,106 1,183 1,248 1,264

Collatz Trajectory (75 steps to reach 1)

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

8,971,872 4,485,936 2,242,968 1,121,484 560,742 280,371 841,114 420,557 1,261,672 630,836 315,418 157,709 473,128 236,564 118,282 59,141 177,424 88,712 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44

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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