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Ratio Atlas
Atlas › Integer Profiles › Node 4,100,523
4,100,523
3 × 7 × 19 × 43 × 239
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 19 × 43 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,758,400
Proper Divisor Sum 2,657,877
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4100521 ← → #4100527

Radix Representation

Decimal 4100523
Binary 1111101001000110101011 (22 bits)
Octal 0o17510653
Hexadecimal 0x3E91AB

Divisor Catalog (32)

1 3 7 19 21 43 57 129 133 239 301 399 717 817 903 1,673 2,451 4,541 5,019 5,719 10,277 13,623 17,157 30,831 31,787 71,939 95,361 195,263 215,817 585,789 1,366,841 4,100,523

Collatz Trajectory (190 steps to reach 1)

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

4,100,523 12,301,570 6,150,785 18,452,356 9,226,178 4,613,089 13,839,268 6,919,634 3,459,817 10,379,452 5,189,726 2,594,863 7,784,590 3,892,295 11,676,886 5,838,443 17,515,330 8,757,665 26,272,996 13,136,498 6,568,249 19,704,748 9,852,374 4,926,187 14,778,562 7,389,281 22,167,844 11,083,922 5,541,961 16,625,884 8,312,942 4,156,471 12,469,414 6,234,707 18,704,122 9,352,061 28,056,184 14,028,092 7,014,046 3,507,023 10,521,070 5,260,535 15,781,606 7,890,803 23,672,410 11,836,205 35,508,616 17,754,308 8,877,154 4,438,577 13,315,732 6,657,866 3,328,933 9,986,800 4,993,400 2,496,700 1,248,350 624,175 1,872,526 936,263

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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