2⁶ × 3² × 7 × 17 × 199

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 17 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 47,548,800

Proper Divisor Sum 33,908,544

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #13640213 ← → #13640257

Radix Representation

Decimal	13640256
Binary	110100000010001001000000 (24 bits)
Octal	0o64021100
Hexadecimal	0xD02240

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 136 144 153 168 192 199 204 224 238 252 272 288 306 336 357 398 408 448 476 504 544 576 597 612 672 714 796

Collatz Trajectory (179 steps to reach 1)

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

13,640,256 6,820,128 3,410,064 1,705,032 852,516 426,258 213,129 639,388 319,694 159,847 479,542 239,771 719,314 359,657 1,078,972 539,486 269,743 809,230 404,615 1,213,846 606,923 1,820,770 910,385 2,731,156 1,365,578 682,789 2,048,368 1,024,184 512,092 256,046 128,023 384,070 192,035 576,106 288,053 864,160 432,080 216,040 108,020 54,010 27,005 81,016 40,508 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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