λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,100,265
4,100,265
32 × 5 × 13 × 43 × 163
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 43 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,879,872
Proper Divisor Sum 3,779,607
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4100263 ← → #4100269

Radix Representation

Decimal 4100265
Binary 1111101001000010101001 (22 bits)
Octal 0o17510251
Hexadecimal 0x3E90A9

Divisor Catalog (48)

1 3 5 9 13 15 39 43 45 65 117 129 163 195 215 387 489 559 585 645 815 1,467 1,677 1,935 2,119 2,445 2,795 5,031 6,357 7,009 7,335 8,385 10,595 19,071 21,027 25,155 31,785 35,045 63,081 91,117 95,355 105,135 273,351 315,405 455,585 820,053 1,366,755 4,100,265

Collatz Trajectory (335 steps to reach 1)

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

4,100,265 12,300,796 6,150,398 3,075,199 9,225,598 4,612,799 13,838,398 6,919,199 20,757,598 10,378,799 31,136,398 15,568,199 46,704,598 23,352,299 70,056,898 35,028,449 105,085,348 52,542,674 26,271,337 78,814,012 39,407,006 19,703,503 59,110,510 29,555,255 88,665,766 44,332,883 132,998,650 66,499,325 199,497,976 99,748,988 49,874,494 24,937,247 74,811,742 37,405,871 112,217,614 56,108,807 168,326,422 84,163,211 252,489,634 126,244,817 378,734,452 189,367,226 94,683,613 284,050,840 142,025,420 71,012,710 35,506,355 106,519,066 53,259,533 159,778,600 79,889,300 39,944,650 19,972,325 59,916,976 29,958,488 14,979,244 7,489,622 3,744,811 11,234,434 5,617,217

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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