2⁵ × 3 × 7² × 29 × 193

Prime Factor Structure

Factorization String 2^5 × 3 × 7^2 × 29 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 83,598,480

Proper Divisor Sum 57,270,192

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #26328287 ← → #26328299

Radix Representation

Decimal	26328288
Binary	1100100011011110011100000 (25 bits)
Octal	0o144336340
Hexadecimal	0x191BCE0

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 193 196 203 224 232 294 336 348 386 392 406 464 579 588 609 672 696 772 784 812 928 1,158 1,176 1,218 1,351 1,392 1,421 1,544 1,568 1,624 2,316

Collatz Trajectory (149 steps to reach 1)

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

26,328,288 13,164,144 6,582,072 3,291,036 1,645,518 822,759 2,468,278 1,234,139 3,702,418 1,851,209 5,553,628 2,776,814 1,388,407 4,165,222 2,082,611 6,247,834 3,123,917 9,371,752 4,685,876 2,342,938 1,171,469 3,514,408 1,757,204 878,602 439,301 1,317,904 658,952 329,476 164,738 82,369 247,108 123,554 61,777 185,332 92,666 46,333 139,000 69,500 34,750 17,375 52,126 26,063 78,190 39,095 117,286 58,643 175,930 87,965 263,896 131,948 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002

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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