λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,922,014
9,922,014
2 × 34 × 73 × 839
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 73 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,564,080
Proper Divisor Sum 12,642,066
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9922013 ← → #9922019

Radix Representation

Decimal 9922014
Binary 100101110110010111011110 (24 bits)
Octal 0o45662736
Hexadecimal 0x9765DE

Divisor Catalog (40)

1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 839 1,314 1,678 1,971 2,517 3,942 5,034 5,913 7,551 11,826 15,102 22,653 45,306 61,247 67,959 122,494 135,918 183,741 367,482 551,223 1,102,446 1,653,669 3,307,338 4,961,007 9,922,014

Collatz Trajectory (269 steps to reach 1)

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

9,922,014 4,961,007 14,883,022 7,441,511 22,324,534 11,162,267 33,486,802 16,743,401 50,230,204 25,115,102 12,557,551 37,672,654 18,836,327 56,508,982 28,254,491 84,763,474 42,381,737 127,145,212 63,572,606 31,786,303 95,358,910 47,679,455 143,038,366 71,519,183 214,557,550 107,278,775 321,836,326 160,918,163 482,754,490 241,377,245 724,131,736 362,065,868 181,032,934 90,516,467 271,549,402 135,774,701 407,324,104 203,662,052 101,831,026 50,915,513 152,746,540 76,373,270 38,186,635 114,559,906 57,279,953 171,839,860 85,919,930 42,959,965 128,879,896 64,439,948 32,219,974 16,109,987 48,329,962 24,164,981 72,494,944 36,247,472 18,123,736 9,061,868 4,530,934 2,265,467

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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