2,431,644

2² × 3 × 202637

2,431,644 factors as 2^2 × 3 × 202637. Its 12 positive divisors give a proper-divisor sum of 3,242,220, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 202637

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,673,864

Proper Divisor Sum 3,242,220

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2431633 ← → #2431657

Radix Representation

Decimal	2431644
Binary	1001010001101010011100 (22 bits)
Octal	0o11215234
Hexadecimal	0x251A9C

Divisor Catalog (12)

1 2 3 4 6 12 202,637 405,274 607,911 810,548 1,215,822 2,431,644

Collatz Trajectory (143 steps to reach 1)

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

2,431,644 1,215,822 607,911 1,823,734 911,867 2,735,602 1,367,801 4,103,404 2,051,702 1,025,851 3,077,554 1,538,777 4,616,332 2,308,166 1,154,083 3,462,250 1,731,125 5,193,376 2,596,688 1,298,344 649,172 324,586 162,293 486,880 243,440 121,720 60,860 30,430 15,215 45,646 22,823 68,470 34,235 102,706 51,353 154,060 77,030 38,515 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554

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