3,004,731

3² × 563 × 593

3,004,731 is odd and not a perfect square. Its factorization is 3^2 × 563 × 593 and its 12 divisors sum to 4,355,208.

Prime Factor Structure

Factorization String 3^2 × 563 × 593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,355,208

Proper Divisor Sum 1,350,477

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3004723 ← → #3004741

Radix Representation

Decimal	3004731
Binary	1011011101100100111011 (22 bits)
Octal	0o13354473
Hexadecimal	0x2DD93B

Divisor Catalog (12)

1 3 9 563 593 1,689 1,779 5,067 5,337 333,859 1,001,577 3,004,731

Collatz Trajectory (138 steps to reach 1)

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

3,004,731 9,014,194 4,507,097 13,521,292 6,760,646 3,380,323 10,140,970 5,070,485 15,211,456 7,605,728 3,802,864 1,901,432 950,716 475,358 237,679 713,038 356,519 1,069,558 534,779 1,604,338 802,169 2,406,508 1,203,254 601,627 1,804,882 902,441 2,707,324 1,353,662 676,831 2,030,494 1,015,247 3,045,742 1,522,871 4,568,614 2,284,307 6,852,922 3,426,461 10,279,384 5,139,692 2,569,846 1,284,923 3,854,770 1,927,385 5,782,156 2,891,078 1,445,539 4,336,618 2,168,309 6,504,928 3,252,464 1,626,232 813,116 406,558 203,279 609,838 304,919 914,758 457,379 1,372,138 686,069

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