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Ratio Atlas
Atlas › Integer Profiles › Node 4,452,591
4,452,591
3 × 11 × 13 × 97 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 13 × 97 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,112,448
Proper Divisor Sum 2,659,857
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4452571 ← → #4452599

Radix Representation

Decimal 4452591
Binary 10000111111000011101111 (23 bits)
Octal 0o20770357
Hexadecimal 0x43F0EF

Divisor Catalog (32)

1 3 11 13 33 39 97 107 143 291 321 429 1,067 1,177 1,261 1,391 3,201 3,531 3,783 4,173 10,379 13,871 15,301 31,137 41,613 45,903 114,169 134,927 342,507 404,781 1,484,197 4,452,591

Collatz Trajectory (193 steps to reach 1)

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

4,452,591 13,357,774 6,678,887 20,036,662 10,018,331 30,054,994 15,027,497 45,082,492 22,541,246 11,270,623 33,811,870 16,905,935 50,717,806 25,358,903 76,076,710 38,038,355 114,115,066 57,057,533 171,172,600 85,586,300 42,793,150 21,396,575 64,189,726 32,094,863 96,284,590 48,142,295 144,426,886 72,213,443 216,640,330 108,320,165 324,960,496 162,480,248 81,240,124 40,620,062 20,310,031 60,930,094 30,465,047 91,395,142 45,697,571 137,092,714 68,546,357 205,639,072 102,819,536 51,409,768 25,704,884 12,852,442 6,426,221 19,278,664 9,639,332 4,819,666 2,409,833 7,229,500 3,614,750 1,807,375 5,422,126 2,711,063 8,133,190 4,066,595 12,199,786 6,099,893

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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