λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,136,044
4,136,044
22 × 11 × 23 × 61 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 61 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,499,456
Proper Divisor Sum 4,363,412
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4136029 ← → #4136057

Radix Representation

Decimal 4136044
Binary 1111110001110001101100 (22 bits)
Octal 0o17616154
Hexadecimal 0x3F1C6C

Divisor Catalog (48)

1 2 4 11 22 23 44 46 61 67 92 122 134 244 253 268 506 671 737 1,012 1,342 1,403 1,474 1,541 2,684 2,806 2,948 3,082 4,087 5,612 6,164 8,174 15,433 16,348 16,951 30,866 33,902 44,957 61,732 67,804 89,914 94,001 179,828 188,002 376,004 1,034,011 2,068,022 4,136,044

Collatz Trajectory (260 steps to reach 1)

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

4,136,044 2,068,022 1,034,011 3,102,034 1,551,017 4,653,052 2,326,526 1,163,263 3,489,790 1,744,895 5,234,686 2,617,343 7,852,030 3,926,015 11,778,046 5,889,023 17,667,070 8,833,535 26,500,606 13,250,303 39,750,910 19,875,455 59,626,366 29,813,183 89,439,550 44,719,775 134,159,326 67,079,663 201,238,990 100,619,495 301,858,486 150,929,243 452,787,730 226,393,865 679,181,596 339,590,798 169,795,399 509,386,198 254,693,099 764,079,298 382,039,649 1,146,118,948 573,059,474 286,529,737 859,589,212 429,794,606 214,897,303 644,691,910 322,345,955 967,037,866 483,518,933 1,450,556,800 725,278,400 362,639,200 181,319,600 90,659,800 45,329,900 22,664,950 11,332,475 33,997,426

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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