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Ratio Atlas
Atlas › Integer Profiles › Node 10,243,401
10,243,401
3 × 72 × 17 × 4099
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 4099
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,826,400
Proper Divisor Sum 6,582,999
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #10243397 ← → #10243411

Radix Representation

Decimal 10243401
Binary 100111000100110101001001 (24 bits)
Octal 0o47046511
Hexadecimal 0x9C4D49

Divisor Catalog (24)

1 3 7 17 21 49 51 119 147 357 833 2,499 4,099 12,297 28,693 69,683 86,079 200,851 209,049 487,781 602,553 1,463,343 3,414,467 10,243,401

Collatz Trajectory (220 steps to reach 1)

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

10,243,401 30,730,204 15,365,102 7,682,551 23,047,654 11,523,827 34,571,482 17,285,741 51,857,224 25,928,612 12,964,306 6,482,153 19,446,460 9,723,230 4,861,615 14,584,846 7,292,423 21,877,270 10,938,635 32,815,906 16,407,953 49,223,860 24,611,930 12,305,965 36,917,896 18,458,948 9,229,474 4,614,737 13,844,212 6,922,106 3,461,053 10,383,160 5,191,580 2,595,790 1,297,895 3,893,686 1,946,843 5,840,530 2,920,265 8,760,796 4,380,398 2,190,199 6,570,598 3,285,299 9,855,898 4,927,949 14,783,848 7,391,924 3,695,962 1,847,981 5,543,944 2,771,972 1,385,986 692,993 2,078,980 1,039,490 519,745 1,559,236 779,618 389,809

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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