4,008,676

2² × 7 × 61 × 2347

For 4,008,676, the 24 positive divisors have a total of 8,152,256. Removing 4,008,676 leaves 4,143,580, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 61 × 2347

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,152,256

Proper Divisor Sum 4,143,580

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4008673 ← → #4008679

Radix Representation

Decimal	4008676
Binary	1111010010101011100100 (22 bits)
Octal	0o17225344
Hexadecimal	0x3D2AE4

Divisor Catalog (24)

1 2 4 7 14 28 61 122 244 427 854 1,708 2,347 4,694 9,388 16,429 32,858 65,716 143,167 286,334 572,668 1,002,169 2,004,338 4,008,676

Collatz Trajectory (167 steps to reach 1)

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

4,008,676 2,004,338 1,002,169 3,006,508 1,503,254 751,627 2,254,882 1,127,441 3,382,324 1,691,162 845,581 2,536,744 1,268,372 634,186 317,093 951,280 475,640 237,820 118,910 59,455 178,366 89,183 267,550 133,775 401,326 200,663 601,990 300,995 902,986 451,493 1,354,480 677,240 338,620 169,310 84,655 253,966 126,983 380,950 190,475 571,426 285,713 857,140 428,570 214,285 642,856 321,428 160,714 80,357 241,072 120,536 60,268 30,134 15,067 45,202 22,601 67,804 33,902 16,951 50,854 25,427

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