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16,645,000

23 × 54 × 3329
Abundant Even Composite

16,645,000 factors as 2^3 × 5^4 × 3329. Its 40 positive divisors give a proper-divisor sum of 22,365,950, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^3 × 5^4 × 3329
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 39,010,950
Proper Divisor Sum 22,365,950
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #16644977 ← → #16645033

Radix Representation

Decimal 16645000
Binary 111111011111101110001000 (24 bits)
Octal 0o77375610
Hexadecimal 0xFDFB88

Divisor Catalog (40)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1,000 1,250 2,500 3,329 5,000 6,658 13,316 16,645 26,632 33,290 66,580 83,225 133,160 166,450 332,900 416,125 665,800 832,250 1,664,500 2,080,625 3,329,000 4,161,250 8,322,500 16,645,000

Collatz Trajectory (200 steps to reach 1)

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

16,645,000 8,322,500 4,161,250 2,080,625 6,241,876 3,120,938 1,560,469 4,681,408 2,340,704 1,170,352 585,176 292,588 146,294 73,147 219,442 109,721 329,164 164,582 82,291 246,874 123,437 370,312 185,156 92,578 46,289 138,868 69,434 34,717 104,152 52,076 26,038 13,019 39,058 19,529 58,588 29,294 14,647 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599

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