2⁴ × 3³ × 7 × 11 × 17

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 2,142,720

Proper Divisor Sum 1,577,232

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #565483 ← → #565489

Radix Representation

Decimal	565488
Binary	10001010000011110000 (20 bits)
Octal	0o2120360
Hexadecimal	0x8A0F0

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 33 34 36 42 44 48 51 54 56 63 66 68 72 77 84 88 99 102 108 112 119 126 132 136 144 153 154 168 176 187 189 198 204 216 231 238 252 264 272 297 306

Collatz Trajectory (84 steps to reach 1)

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

565,488 282,744 141,372 70,686 35,343 106,030 53,015 159,046 79,523 238,570 119,285 357,856 178,928 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100

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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