λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,033,008
4,033,008
24 × 32 × 7 × 4001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 4001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,902,448
Proper Divisor Sum 8,869,440
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4032991 ← → #4033009

Radix Representation

Decimal 4033008
Binary 1111011000100111110000 (22 bits)
Octal 0o17304760
Hexadecimal 0x3D89F0

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1,008 4,001 8,002 12,003 16,004 24,006 28,007 32,008 36,009 48,012 56,014 64,016 72,018 84,021 96,024 112,028 144,036 168,042 192,048 224,056 252,063 288,072 336,084 448,112 504,126 576,144 672,168 1,008,252 1,344,336 2,016,504 4,033,008

Collatz Trajectory (185 steps to reach 1)

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

4,033,008 2,016,504 1,008,252 504,126 252,063 756,190 378,095 1,134,286 567,143 1,701,430 850,715 2,552,146 1,276,073 3,828,220 1,914,110 957,055 2,871,166 1,435,583 4,306,750 2,153,375 6,460,126 3,230,063 9,690,190 4,845,095 14,535,286 7,267,643 21,802,930 10,901,465 32,704,396 16,352,198 8,176,099 24,528,298 12,264,149 36,792,448 18,396,224 9,198,112 4,599,056 2,299,528 1,149,764 574,882 287,441 862,324 431,162 215,581 646,744 323,372 161,686 80,843 242,530 121,265 363,796 181,898 90,949 272,848 136,424 68,212 34,106 17,053 51,160 25,580

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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