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Ratio Atlas
Atlas › Integer Profiles › Node 5,776,400
5,776,400
24 × 52 × 7 × 2063
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 2063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 15,868,032
Proper Divisor Sum 10,091,632
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5776387 ← → #5776429

Radix Representation

Decimal 5776400
Binary 10110000010010000010000 (23 bits)
Octal 0o26022020
Hexadecimal 0x582410

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1,400 2,063 2,800 4,126 8,252 10,315 14,441 16,504 20,630 28,882 33,008 41,260 51,575 57,764 72,205 82,520 103,150 115,528 144,410 165,040 206,300 231,056 288,820 361,025 412,600 577,640 722,050 825,200 1,155,280 1,444,100 2,888,200 5,776,400

Collatz Trajectory (121 steps to reach 1)

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

5,776,400 2,888,200 1,444,100 722,050 361,025 1,083,076 541,538 270,769 812,308 406,154 203,077 609,232 304,616 152,308 76,154 38,077 114,232 57,116 28,558 14,279 42,838 21,419 64,258 32,129 96,388 48,194 24,097 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019

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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