2⁹ × 3 × 7 × 23 × 227

Prime Factor Structure

Factorization String 2^9 × 3 × 7 × 23 × 227

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 179,131,392

Proper Divisor Sum 122,995,200

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #56136191 ← → #56136209

Radix Representation

Decimal	56136192
Binary	11010110001001001000000000 (26 bits)
Octal	0o326111000
Hexadecimal	0x3589200

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 227 256 276 322 336 368 384 448 454 483 512 552 644 672 681 736 768 896 908 966 1,104 1,288 1,344 1,362 1,472 1,536 1,589 1,792

Collatz Trajectory (150 steps to reach 1)

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

56,136,192 28,068,096 14,034,048 7,017,024 3,508,512 1,754,256 877,128 438,564 219,282 109,641 328,924 164,462 82,231 246,694 123,347 370,042 185,021 555,064 277,532 138,766 69,383 208,150 104,075 312,226 156,113 468,340 234,170 117,085 351,256 175,628 87,814 43,907 131,722 65,861 197,584 98,792 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275

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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