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Atlas › Integer Profiles › Node 3,138,044

3,138,044

22 × 7 × 13 × 37 × 233
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 37 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,971,328
Proper Divisor Sum 3,833,284
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3138041 ← → #3138067

Radix Representation

Decimal 3138044
Binary 1011111110000111111100 (22 bits)
Octal 0o13760774
Hexadecimal 0x2FE1FC

Divisor Catalog (48)

1 2 4 7 13 14 26 28 37 52 74 91 148 182 233 259 364 466 481 518 932 962 1,036 1,631 1,924 3,029 3,262 3,367 6,058 6,524 6,734 8,621 12,116 13,468 17,242 21,203 34,484 42,406 60,347 84,812 112,073 120,694 224,146 241,388 448,292 784,511 1,569,022 3,138,044

Collatz Trajectory (133 steps to reach 1)

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

3,138,044 1,569,022 784,511 2,353,534 1,176,767 3,530,302 1,765,151 5,295,454 2,647,727 7,943,182 3,971,591 11,914,774 5,957,387 17,872,162 8,936,081 26,808,244 13,404,122 6,702,061 20,106,184 10,053,092 5,026,546 2,513,273 7,539,820 3,769,910 1,884,955 5,654,866 2,827,433 8,482,300 4,241,150 2,120,575 6,361,726 3,180,863 9,542,590 4,771,295 14,313,886 7,156,943 21,470,830 10,735,415 32,206,246 16,103,123 48,309,370 24,154,685 72,464,056 36,232,028 18,116,014 9,058,007 27,174,022 13,587,011 40,761,034 20,380,517 61,141,552 30,570,776 15,285,388 7,642,694 3,821,347 11,464,042 5,732,021 17,196,064 8,598,032 4,299,016

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