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Ratio Atlas
Atlas › Integer Profiles › Node 4,100,535
4,100,535
32 × 5 × 293 × 311
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 293 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,154,784
Proper Divisor Sum 3,054,249
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4100531 ← → #4100539

Radix Representation

Decimal 4100535
Binary 1111101001000110110111 (22 bits)
Octal 0o17510667
Hexadecimal 0x3E91B7

Divisor Catalog (24)

1 3 5 9 15 45 293 311 879 933 1,465 1,555 2,637 2,799 4,395 4,665 13,185 13,995 91,123 273,369 455,615 820,107 1,366,845 4,100,535

Collatz Trajectory (247 steps to reach 1)

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

4,100,535 12,301,606 6,150,803 18,452,410 9,226,205 27,678,616 13,839,308 6,919,654 3,459,827 10,379,482 5,189,741 15,569,224 7,784,612 3,892,306 1,946,153 5,838,460 2,919,230 1,459,615 4,378,846 2,189,423 6,568,270 3,284,135 9,852,406 4,926,203 14,778,610 7,389,305 22,167,916 11,083,958 5,541,979 16,625,938 8,312,969 24,938,908 12,469,454 6,234,727 18,704,182 9,352,091 28,056,274 14,028,137 42,084,412 21,042,206 10,521,103 31,563,310 15,781,655 47,344,966 23,672,483 71,017,450 35,508,725 106,526,176 53,263,088 26,631,544 13,315,772 6,657,886 3,328,943 9,986,830 4,993,415 14,980,246 7,490,123 22,470,370 11,235,185 33,705,556

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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