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Ratio Atlas
Atlas › Integer Profiles › Node 17,820,322
17,820,322
2 × 13 × 41 × 73 × 229
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 41 × 73 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,023,280
Proper Divisor Sum 12,202,958
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17820317 ← → #17820343

Radix Representation

Decimal 17820322
Binary 1000011111110101010100010 (25 bits)
Octal 0o103765242
Hexadecimal 0x10FEAA2

Divisor Catalog (32)

1 2 13 26 41 73 82 146 229 458 533 949 1,066 1,898 2,977 2,993 5,954 5,986 9,389 16,717 18,778 33,434 38,909 77,818 122,057 217,321 244,114 434,642 685,397 1,370,794 8,910,161 17,820,322

Collatz Trajectory (301 steps to reach 1)

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

17,820,322 8,910,161 26,730,484 13,365,242 6,682,621 20,047,864 10,023,932 5,011,966 2,505,983 7,517,950 3,758,975 11,276,926 5,638,463 16,915,390 8,457,695 25,373,086 12,686,543 38,059,630 19,029,815 57,089,446 28,544,723 85,634,170 42,817,085 128,451,256 64,225,628 32,112,814 16,056,407 48,169,222 24,084,611 72,253,834 36,126,917 108,380,752 54,190,376 27,095,188 13,547,594 6,773,797 20,321,392 10,160,696 5,080,348 2,540,174 1,270,087 3,810,262 1,905,131 5,715,394 2,857,697 8,573,092 4,286,546 2,143,273 6,429,820 3,214,910 1,607,455 4,822,366 2,411,183 7,233,550 3,616,775 10,850,326 5,425,163 16,275,490 8,137,745 24,413,236

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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