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Ratio Atlas
Atlas › Integer Profiles › Node 4,456,512
4,456,512
26 × 33 × 2579
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^3 × 2579
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,106,400
Proper Divisor Sum 8,649,888
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4456511 ← → #4456513

Radix Representation

Decimal 4456512
Binary 10001000000000001000000 (23 bits)
Octal 0o21000100
Hexadecimal 0x440040

Divisor Catalog (56)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1,728 2,579 5,158 7,737 10,316 15,474 20,632 23,211 30,948 41,264 46,422 61,896 69,633 82,528 92,844 123,792 139,266 165,056 185,688 247,584 278,532 371,376 495,168 557,064 742,752 1,114,128 1,485,504 2,228,256 4,456,512

Collatz Trajectory (149 steps to reach 1)

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

4,456,512 2,228,256 1,114,128 557,064 278,532 139,266 69,633 208,900 104,450 52,225 156,676 78,338 39,169 117,508 58,754 29,377 88,132 44,066 22,033 66,100 33,050 16,525 49,576 24,788 12,394 6,197 18,592 9,296 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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