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Ratio Atlas
Atlas › Integer Profiles › Node 20,002,944
20,002,944
27 × 3 × 13 × 4007
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 13 × 4007
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 57,234,240
Proper Divisor Sum 37,231,296
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20002933 ← → #20002951

Radix Representation

Decimal 20002944
Binary 1001100010011100010000000 (25 bits)
Octal 0o114234200
Hexadecimal 0x1313880

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1,248 1,664 2,496 4,007 4,992 8,014 12,021 16,028 24,042 32,056 48,084 52,091 64,112 96,168 104,182 128,224 156,273 192,336 208,364 256,448 312,546 384,672 416,728 512,896 625,092 769,344 833,456 1,250,184 1,538,688 1,666,912 2,500,368 3,333,824

Collatz Trajectory (84 steps to reach 1)

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

20,002,944 10,001,472 5,000,736 2,500,368 1,250,184 625,092 312,546 156,273 468,820 234,410 117,205 351,616 175,808 87,904 43,952 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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