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Ratio Atlas
Atlas › Integer Profiles › Node 19,972,004
19,972,004
22 × 13 × 23 × 16699
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 16699
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 39,278,400
Proper Divisor Sum 19,306,396
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #19972003 ← → #19972019

Radix Representation

Decimal 19972004
Binary 1001100001011111110100100 (25 bits)
Octal 0o114137644
Hexadecimal 0x130BFA4

Divisor Catalog (24)

1 2 4 13 23 26 46 52 92 299 598 1,196 16,699 33,398 66,796 217,087 384,077 434,174 768,154 868,348 1,536,308 4,993,001 9,986,002 19,972,004

Collatz Trajectory (283 steps to reach 1)

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

19,972,004 9,986,002 4,993,001 14,979,004 7,489,502 3,744,751 11,234,254 5,617,127 16,851,382 8,425,691 25,277,074 12,638,537 37,915,612 18,957,806 9,478,903 28,436,710 14,218,355 42,655,066 21,327,533 63,982,600 31,991,300 15,995,650 7,997,825 23,993,476 11,996,738 5,998,369 17,995,108 8,997,554 4,498,777 13,496,332 6,748,166 3,374,083 10,122,250 5,061,125 15,183,376 7,591,688 3,795,844 1,897,922 948,961 2,846,884 1,423,442 711,721 2,135,164 1,067,582 533,791 1,601,374 800,687 2,402,062 1,201,031 3,603,094 1,801,547 5,404,642 2,702,321 8,106,964 4,053,482 2,026,741 6,080,224 3,040,112 1,520,056 760,028

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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