2⁶ × 3² × 7 × 23 × 61

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 23 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 19,653,504

Proper Divisor Sum 13,996,608

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5656837 ← → #5656921

Radix Representation

Decimal	5656896
Binary	10101100101000101000000 (23 bits)
Octal	0o25450500
Hexadecimal	0x565140

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 61 63 64 69 72 84 92 96 112 122 126 138 144 161 168 183 184 192 207 224 244 252 276 288 322 336 366 368 414 427 448 483 488 504 549 552 576 644

Collatz Trajectory (77 steps to reach 1)

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

5,656,896 2,828,448 1,414,224 707,112 353,556 176,778 88,389 265,168 132,584 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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