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200,592

24 × 32 × 7 × 199
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 644,800
Proper Divisor Sum 444,208
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #200591 ← → #200597

Radix Representation

Decimal 200592
Binary 110000111110010000 (18 bits)
Octal 0o607620
Hexadecimal 0x30F90

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 199 252 336 398 504 597 796 1,008 1,194 1,393 1,592 1,791 2,388 2,786 3,184 3,582 4,179 4,776 5,572 7,164 8,358 9,552 11,144 12,537 14,328 16,716 22,288 25,074 28,656 33,432 50,148 66,864 100,296 200,592

Collatz Trajectory (67 steps to reach 1)

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

200,592 100,296 50,148 25,074 12,537 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

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