2³ × 3 × 5 × 7 × 13 × 23²

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 13 × 23^2

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 22,296,960

Proper Divisor Sum 16,520,280

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5776679 ← → #5776721

Radix Representation

Decimal	5776680
Binary	10110000010010100101000 (23 bits)
Octal	0o26022450
Hexadecimal	0x582528

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 23 24 26 28 30 35 39 40 42 46 52 56 60 65 69 70 78 84 91 92 104 105 115 120 130 138 140 156 161 168 182 184 195 210 230 260 273 276 280 299 312 322 345 364 390

Collatz Trajectory (214 steps to reach 1)

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

5,776,680 2,888,340 1,444,170 722,085 2,166,256 1,083,128 541,564 270,782 135,391 406,174 203,087 609,262 304,631 913,894 456,947 1,370,842 685,421 2,056,264 1,028,132 514,066 257,033 771,100 385,550 192,775 578,326 289,163 867,490 433,745 1,301,236 650,618 325,309 975,928 487,964 243,982 121,991 365,974 182,987 548,962 274,481 823,444 411,722 205,861 617,584 308,792 154,396 77,198 38,599 115,798 57,899 173,698 86,849 260,548 130,274 65,137 195,412 97,706 48,853 146,560 73,280 36,640

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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