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Ratio Atlas
Atlas › Integer Profiles › Node 4,091,600
4,091,600
24 × 52 × 53 × 193
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 53 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,067,436
Proper Divisor Sum 5,975,836
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4091599 ← → #4091603

Radix Representation

Decimal 4091600
Binary 1111100110111011010000 (22 bits)
Octal 0o17467320
Hexadecimal 0x3E6ED0

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 193 200 212 265 386 400 424 530 772 848 965 1,060 1,325 1,544 1,930 2,120 2,650 3,088 3,860 4,240 4,825 5,300 7,720 9,650 10,229 10,600 15,440 19,300 20,458 21,200 38,600 40,916 51,145 77,200 81,832 102,290 163,664 204,580 255,725 409,160 511,450 818,320 1,022,900 2,045,800 4,091,600

Collatz Trajectory (198 steps to reach 1)

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

4,091,600 2,045,800 1,022,900 511,450 255,725 767,176 383,588 191,794 95,897 287,692 143,846 71,923 215,770 107,885 323,656 161,828 80,914 40,457 121,372 60,686 30,343 91,030 45,515 136,546 68,273 204,820 102,410 51,205 153,616 76,808 38,404 19,202 9,601 28,804 14,402 7,201 21,604 10,802 5,401 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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