4,004,946

2 × 3² × 11 × 113 × 179

For 4,004,946, the 48 positive divisors have a total of 9,603,360. Removing 4,004,946 leaves 5,598,414, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 113 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,603,360

Proper Divisor Sum 5,598,414

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4004939 ← → #4004951

Radix Representation

Decimal	4004946
Binary	1111010001110001010010 (22 bits)
Octal	0o17216122
Hexadecimal	0x3D1C52

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 99 113 179 198 226 339 358 537 678 1,017 1,074 1,243 1,611 1,969 2,034 2,486 3,222 3,729 3,938 5,907 7,458 11,187 11,814 17,721 20,227 22,374 35,442 40,454 60,681 121,362 182,043 222,497 364,086 444,994 667,491 1,334,982 2,002,473 4,004,946

Collatz Trajectory (260 steps to reach 1)

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

4,004,946 2,002,473 6,007,420 3,003,710 1,501,855 4,505,566 2,252,783 6,758,350 3,379,175 10,137,526 5,068,763 15,206,290 7,603,145 22,809,436 11,404,718 5,702,359 17,107,078 8,553,539 25,660,618 12,830,309 38,490,928 19,245,464 9,622,732 4,811,366 2,405,683 7,217,050 3,608,525 10,825,576 5,412,788 2,706,394 1,353,197 4,059,592 2,029,796 1,014,898 507,449 1,522,348 761,174 380,587 1,141,762 570,881 1,712,644 856,322 428,161 1,284,484 642,242 321,121 963,364 481,682 240,841 722,524 361,262 180,631 541,894 270,947 812,842 406,421 1,219,264 609,632 304,816 152,408

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