2² × 3³ × 11² × 19 × 113

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11^2 × 19 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 84,907,200

Proper Divisor Sum 56,850,204

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #28056961 ← → #28057009

Radix Representation

Decimal	28056996
Binary	1101011000001110110100100 (25 bits)
Octal	0o153016644
Hexadecimal	0x1AC1DA4

Divisor Catalog (60 of 144)

1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 113 114 121 132 171 198 209 226 228 242 297 339 342 363 396 418 452 484 513 594 627 678 684 726 836 1,017 1,026 1,089 1,188 1,243 1,254 1,356 1,452 1,881 2,034 2,052 2,147 2,178

Collatz Trajectory (224 steps to reach 1)

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

28,056,996 14,028,498 7,014,249 21,042,748 10,521,374 5,260,687 15,782,062 7,891,031 23,673,094 11,836,547 35,509,642 17,754,821 53,264,464 26,632,232 13,316,116 6,658,058 3,329,029 9,987,088 4,993,544 2,496,772 1,248,386 624,193 1,872,580 936,290 468,145 1,404,436 702,218 351,109 1,053,328 526,664 263,332 131,666 65,833 197,500 98,750 49,375 148,126 74,063 222,190 111,095 333,286 166,643 499,930 249,965 749,896 374,948 187,474 93,737 281,212 140,606 70,303 210,910 105,455 316,366 158,183 474,550 237,275 711,826 355,913 1,067,740

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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