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Ratio Atlas
Atlas › Integer Profiles › Node 13,005,772
13,005,772
22 × 13 × 67 × 3733
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 67 × 3733
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,883,376
Proper Divisor Sum 11,877,604
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13005767 ← → #13005859

Radix Representation

Decimal 13005772
Binary 110001100111001111001100 (24 bits)
Octal 0o61471714
Hexadecimal 0xC673CC

Divisor Catalog (24)

1 2 4 13 26 52 67 134 268 871 1,742 3,484 3,733 7,466 14,932 48,529 97,058 194,116 250,111 500,222 1,000,444 3,251,443 6,502,886 13,005,772

Collatz Trajectory (254 steps to reach 1)

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

13,005,772 6,502,886 3,251,443 9,754,330 4,877,165 14,631,496 7,315,748 3,657,874 1,828,937 5,486,812 2,743,406 1,371,703 4,115,110 2,057,555 6,172,666 3,086,333 9,259,000 4,629,500 2,314,750 1,157,375 3,472,126 1,736,063 5,208,190 2,604,095 7,812,286 3,906,143 11,718,430 5,859,215 17,577,646 8,788,823 26,366,470 13,183,235 39,549,706 19,774,853 59,324,560 29,662,280 14,831,140 7,415,570 3,707,785 11,123,356 5,561,678 2,780,839 8,342,518 4,171,259 12,513,778 6,256,889 18,770,668 9,385,334 4,692,667 14,078,002 7,039,001 21,117,004 10,558,502 5,279,251 15,837,754 7,918,877 23,756,632 11,878,316 5,939,158 2,969,579

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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