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Ratio Atlas
Atlas › Integer Profiles › Node 6,431,397
6,431,397
3 × 72 × 67 × 653
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 67 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,139,616
Proper Divisor Sum 3,708,219
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6431387 ← → #6431401

Radix Representation

Decimal 6431397
Binary 11000100010001010100101 (23 bits)
Octal 0o30421245
Hexadecimal 0x6222A5

Divisor Catalog (24)

1 3 7 21 49 67 147 201 469 653 1,407 1,959 3,283 4,571 9,849 13,713 31,997 43,751 95,991 131,253 306,257 918,771 2,143,799 6,431,397

Collatz Trajectory (95 steps to reach 1)

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

6,431,397 19,294,192 9,647,096 4,823,548 2,411,774 1,205,887 3,617,662 1,808,831 5,426,494 2,713,247 8,139,742 4,069,871 12,209,614 6,104,807 18,314,422 9,157,211 27,471,634 13,735,817 41,207,452 20,603,726 10,301,863 30,905,590 15,452,795 46,358,386 23,179,193 69,537,580 34,768,790 17,384,395 52,153,186 26,076,593 78,229,780 39,114,890 19,557,445 58,672,336 29,336,168 14,668,084 7,334,042 3,667,021 11,001,064 5,500,532 2,750,266 1,375,133 4,125,400 2,062,700 1,031,350 515,675 1,547,026 773,513 2,320,540 1,160,270 580,135 1,740,406 870,203 2,610,610 1,305,305 3,915,916 1,957,958 978,979 2,936,938 1,468,469

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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