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1,663,600

24 × 52 × 4159
Abundant Even Composite

1,663,600 factors as 2^4 × 5^2 × 4159. Its 30 positive divisors give a proper-divisor sum of 2,334,160, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 4159
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 3,997,760
Proper Divisor Sum 2,334,160
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1663589 ← → #1663609

Radix Representation

Decimal 1663600
Binary 110010110001001110000 (21 bits)
Octal 0o6261160
Hexadecimal 0x196270

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4,159 8,318 16,636 20,795 33,272 41,590 66,544 83,180 103,975 166,360 207,950 332,720 415,900 831,800 1,663,600

Collatz Trajectory (132 steps to reach 1)

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

1,663,600 831,800 415,900 207,950 103,975 311,926 155,963 467,890 233,945 701,836 350,918 175,459 526,378 263,189 789,568 394,784 197,392 98,696 49,348 24,674 12,337 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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