λ
Integer Codex

4,106,475

32 × 52 × 18251
Deficient Odd Composite

For 4,106,475, the 18 positive divisors have a total of 7,355,556. Removing 4,106,475 leaves 3,249,081, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 18251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 7,355,556
Proper Divisor Sum 3,249,081
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4106471 ← → #4106491

Radix Representation

Decimal 4106475
Binary 1111101010100011101011 (22 bits)
Octal 0o17524353
Hexadecimal 0x3EA8EB

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 18,251 54,753 91,255 164,259 273,765 456,275 821,295 1,368,825 4,106,475

Collatz Trajectory (229 steps to reach 1)

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

4,106,475 12,319,426 6,159,713 18,479,140 9,239,570 4,619,785 13,859,356 6,929,678 3,464,839 10,394,518 5,197,259 15,591,778 7,795,889 23,387,668 11,693,834 5,846,917 17,540,752 8,770,376 4,385,188 2,192,594 1,096,297 3,288,892 1,644,446 822,223 2,466,670 1,233,335 3,700,006 1,850,003 5,550,010 2,775,005 8,325,016 4,162,508 2,081,254 1,040,627 3,121,882 1,560,941 4,682,824 2,341,412 1,170,706 585,353 1,756,060 878,030 439,015 1,317,046 658,523 1,975,570 987,785 2,963,356 1,481,678 740,839 2,222,518 1,111,259 3,333,778 1,666,889 5,000,668 2,500,334 1,250,167 3,750,502 1,875,251 5,625,754

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