3,264,642

2 × 3² × 67 × 2707

3,264,642 has the prime decomposition 2 × 3^2 × 67 × 2707. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 67 × 2707

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,181,616

Proper Divisor Sum 3,916,974

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3264631 ← → #3264649

Radix Representation

Decimal	3264642
Binary	1100011101000010000010 (22 bits)
Octal	0o14350202
Hexadecimal	0x31D082

Divisor Catalog (24)

1 2 3 6 9 18 67 134 201 402 603 1,206 2,707 5,414 8,121 16,242 24,363 48,726 181,369 362,738 544,107 1,088,214 1,632,321 3,264,642

Collatz Trajectory (221 steps to reach 1)

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

3,264,642 1,632,321 4,896,964 2,448,482 1,224,241 3,672,724 1,836,362 918,181 2,754,544 1,377,272 688,636 344,318 172,159 516,478 258,239 774,718 387,359 1,162,078 581,039 1,743,118 871,559 2,614,678 1,307,339 3,922,018 1,961,009 5,883,028 2,941,514 1,470,757 4,412,272 2,206,136 1,103,068 551,534 275,767 827,302 413,651 1,240,954 620,477 1,861,432 930,716 465,358 232,679 698,038 349,019 1,047,058 523,529 1,570,588 785,294 392,647 1,177,942 588,971 1,766,914 883,457 2,650,372 1,325,186 662,593 1,987,780 993,890 496,945 1,490,836 745,418

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