2⁵ × 3³ × 29 × 41

Prime Factor Structure

Factorization String 2^5 × 3^3 × 29 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,175,200

Proper Divisor Sum 2,147,904

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1027289 ← → #1027319

Radix Representation

Decimal	1027296
Binary	11111010110011100000 (20 bits)
Octal	0o3726340
Hexadecimal	0xFACE0

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 41 48 54 58 72 82 87 96 108 116 123 144 164 174 216 232 246 261 288 328 348 369 432 464 492 522 656 696 738 783 864 928 984 1,044 1,107 1,189 1,312 1,392 1,476 1,566 1,968 2,088 2,214 2,378 2,784

Collatz Trajectory (108 steps to reach 1)

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

1,027,296 513,648 256,824 128,412 64,206 32,103 96,310 48,155 144,466 72,233 216,700 108,350 54,175 162,526 81,263 243,790 121,895 365,686 182,843 548,530 274,265 822,796 411,398 205,699 617,098 308,549 925,648 462,824 231,412 115,706 57,853 173,560 86,780 43,390 21,695 65,086 32,543 97,630 48,815 146,446 73,223 219,670 109,835 329,506 164,753 494,260 247,130 123,565 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098

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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