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Atlas › Integer Profiles › Node 3,936,024

3,936,024

23 × 32 × 54667
Abundant Even Composite

3,936,024 factors as 2^3 × 3^2 × 54667. Its 24 positive divisors give a proper-divisor sum of 6,724,236, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 54667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,660,260
Proper Divisor Sum 6,724,236
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3936019 ← → #3936043

Radix Representation

Decimal 3936024
Binary 1111000000111100011000 (22 bits)
Octal 0o17007430
Hexadecimal 0x3C0F18

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 54,667 109,334 164,001 218,668 328,002 437,336 492,003 656,004 984,006 1,312,008 1,968,012 3,936,024

Collatz Trajectory (66 steps to reach 1)

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

3,936,024 1,968,012 984,006 492,003 1,476,010 738,005 2,214,016 1,107,008 553,504 276,752 138,376 69,188 34,594 17,297 51,892 25,946 12,973 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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