λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,022,018
4,022,018
2 × 73 × 11 × 13 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7^3 × 11 × 13 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,467,200
Proper Divisor Sum 4,445,182
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4022017 ← → #4022021

Radix Representation

Decimal 4022018
Binary 1111010101111100000010 (22 bits)
Octal 0o17257402
Hexadecimal 0x3D5F02

Divisor Catalog (60 of 64)

1 2 7 11 13 14 22 26 41 49 77 82 91 98 143 154 182 286 287 343 451 533 539 574 637 686 902 1,001 1,066 1,078 1,274 2,002 2,009 3,157 3,731 3,773 4,018 4,459 5,863 6,314 7,007 7,462 7,546 8,918 11,726 14,014 14,063 22,099 26,117 28,126 41,041 44,198 49,049 52,234 82,082 98,098 154,693 182,819 287,287 309,386

Collatz Trajectory (92 steps to reach 1)

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

4,022,018 2,011,009 6,033,028 3,016,514 1,508,257 4,524,772 2,262,386 1,131,193 3,393,580 1,696,790 848,395 2,545,186 1,272,593 3,817,780 1,908,890 954,445 2,863,336 1,431,668 715,834 357,917 1,073,752 536,876 268,438 134,219 402,658 201,329 603,988 301,994 150,997 452,992 226,496 113,248 56,624 28,312 14,156 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256

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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