λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,100,859
4,100,859
32 × 72 × 17 × 547
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^2 × 17 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,309,224
Proper Divisor Sum 3,208,365
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4100849 ← → #4100879

Radix Representation

Decimal 4100859
Binary 1111101001001011111011 (22 bits)
Octal 0o17511373
Hexadecimal 0x3E92FB

Divisor Catalog (36)

1 3 7 9 17 21 49 51 63 119 147 153 357 441 547 833 1,071 1,641 2,499 3,829 4,923 7,497 9,299 11,487 26,803 27,897 34,461 65,093 80,409 83,691 195,279 241,227 455,651 585,837 1,366,953 4,100,859

Collatz Trajectory (229 steps to reach 1)

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

4,100,859 12,302,578 6,151,289 18,453,868 9,226,934 4,613,467 13,840,402 6,920,201 20,760,604 10,380,302 5,190,151 15,570,454 7,785,227 23,355,682 11,677,841 35,033,524 17,516,762 8,758,381 26,275,144 13,137,572 6,568,786 3,284,393 9,853,180 4,926,590 2,463,295 7,389,886 3,694,943 11,084,830 5,542,415 16,627,246 8,313,623 24,940,870 12,470,435 37,411,306 18,705,653 56,116,960 28,058,480 14,029,240 7,014,620 3,507,310 1,753,655 5,260,966 2,630,483 7,891,450 3,945,725 11,837,176 5,918,588 2,959,294 1,479,647 4,438,942 2,219,471 6,658,414 3,329,207 9,987,622 4,993,811 14,981,434 7,490,717 22,472,152 11,236,076 5,618,038

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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