λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,032,072
4,032,072
23 × 33 × 11 × 1697
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 1697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,225,600
Proper Divisor Sum 8,193,528
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4032071 ← → #4032097

Radix Representation

Decimal 4032072
Binary 1111011000011001001000 (22 bits)
Octal 0o17303110
Hexadecimal 0x3D8648

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1,188 1,697 2,376 3,394 5,091 6,788 10,182 13,576 15,273 18,667 20,364 30,546 37,334 40,728 45,819 56,001 61,092 74,668 91,638 112,002 122,184 149,336 168,003 183,276 224,004 336,006 366,552 448,008 504,009 672,012

Collatz Trajectory (92 steps to reach 1)

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

4,032,072 2,016,036 1,008,018 504,009 1,512,028 756,014 378,007 1,134,022 567,011 1,701,034 850,517 2,551,552 1,275,776 637,888 318,944 159,472 79,736 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264

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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