3,738,375

3² × 5³ × 3323

3,738,375 is odd and not a perfect square. Its factorization is 3^2 × 5^3 × 3323 and its 24 divisors sum to 6,741,072.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 3323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,741,072

Proper Divisor Sum 3,002,697

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3738353 ← → #3738391

Radix Representation

Decimal	3738375
Binary	1110010000101100000111 (22 bits)
Octal	0o16205407
Hexadecimal	0x390B07

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 225 375 1,125 3,323 9,969 16,615 29,907 49,845 83,075 149,535 249,225 415,375 747,675 1,246,125 3,738,375

Collatz Trajectory (247 steps to reach 1)

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

3,738,375 11,215,126 5,607,563 16,822,690 8,411,345 25,234,036 12,617,018 6,308,509 18,925,528 9,462,764 4,731,382 2,365,691 7,097,074 3,548,537 10,645,612 5,322,806 2,661,403 7,984,210 3,992,105 11,976,316 5,988,158 2,994,079 8,982,238 4,491,119 13,473,358 6,736,679 20,210,038 10,105,019 30,315,058 15,157,529 45,472,588 22,736,294 11,368,147 34,104,442 17,052,221 51,156,664 25,578,332 12,789,166 6,394,583 19,183,750 9,591,875 28,775,626 14,387,813 43,163,440 21,581,720 10,790,860 5,395,430 2,697,715 8,093,146 4,046,573 12,139,720 6,069,860 3,034,930 1,517,465 4,552,396 2,276,198 1,138,099 3,414,298 1,707,149 5,121,448

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