3,687,242

2 × 13² × 10909

3,687,242 has the prime decomposition 2 × 13^2 × 10909. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^2 × 10909

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,989,590

Proper Divisor Sum 2,302,348

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3687241 ← → #3687247

Radix Representation

Decimal	3687242
Binary	1110000100001101001010 (22 bits)
Octal	0o16041512
Hexadecimal	0x38434A

Divisor Catalog (12)

1 2 13 26 169 338 10,909 21,818 141,817 283,634 1,843,621 3,687,242

Collatz Trajectory (164 steps to reach 1)

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

3,687,242 1,843,621 5,530,864 2,765,432 1,382,716 691,358 345,679 1,037,038 518,519 1,555,558 777,779 2,333,338 1,166,669 3,500,008 1,750,004 875,002 437,501 1,312,504 656,252 328,126 164,063 492,190 246,095 738,286 369,143 1,107,430 553,715 1,661,146 830,573 2,491,720 1,245,860 622,930 311,465 934,396 467,198 233,599 700,798 350,399 1,051,198 525,599 1,576,798 788,399 2,365,198 1,182,599 3,547,798 1,773,899 5,321,698 2,660,849 7,982,548 3,991,274 1,995,637 5,986,912 2,993,456 1,496,728 748,364 374,182 187,091 561,274 280,637 841,912

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