λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,042,002
10,042,002
2 × 33 × 17 × 10939
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 10939
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,630,400
Proper Divisor Sum 13,588,398
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #10042001 ← → #10042009

Radix Representation

Decimal 10042002
Binary 100110010011101010010010 (24 bits)
Octal 0o46235222
Hexadecimal 0x993A92

Divisor Catalog (32)

1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 10,939 21,878 32,817 65,634 98,451 185,963 196,902 295,353 371,926 557,889 590,706 1,115,778 1,673,667 3,347,334 5,021,001 10,042,002

Collatz Trajectory (207 steps to reach 1)

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

10,042,002 5,021,001 15,063,004 7,531,502 3,765,751 11,297,254 5,648,627 16,945,882 8,472,941 25,418,824 12,709,412 6,354,706 3,177,353 9,532,060 4,766,030 2,383,015 7,149,046 3,574,523 10,723,570 5,361,785 16,085,356 8,042,678 4,021,339 12,064,018 6,032,009 18,096,028 9,048,014 4,524,007 13,572,022 6,786,011 20,358,034 10,179,017 30,537,052 15,268,526 7,634,263 22,902,790 11,451,395 34,354,186 17,177,093 51,531,280 25,765,640 12,882,820 6,441,410 3,220,705 9,662,116 4,831,058 2,415,529 7,246,588 3,623,294 1,811,647 5,434,942 2,717,471 8,152,414 4,076,207 12,228,622 6,114,311 18,342,934 9,171,467 27,514,402 13,757,201

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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