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8,200,328

23 × 23 × 41 × 1087
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 23 × 41 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,450,560
Proper Divisor Sum 8,250,232
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8200327 ← → #8200363

Radix Representation

Decimal 8200328
Binary 11111010010000010001000 (23 bits)
Octal 0o37220210
Hexadecimal 0x7D2088

Divisor Catalog (32)

1 2 4 8 23 41 46 82 92 164 184 328 943 1,087 1,886 2,174 3,772 4,348 7,544 8,696 25,001 44,567 50,002 89,134 100,004 178,268 200,008 356,536 1,025,041 2,050,082 4,100,164 8,200,328

Collatz Trajectory (186 steps to reach 1)

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

8,200,328 4,100,164 2,050,082 1,025,041 3,075,124 1,537,562 768,781 2,306,344 1,153,172 576,586 288,293 864,880 432,440 216,220 108,110 54,055 162,166 81,083 243,250 121,625 364,876 182,438 91,219 273,658 136,829 410,488 205,244 102,622 51,311 153,934 76,967 230,902 115,451 346,354 173,177 519,532 259,766 129,883 389,650 194,825 584,476 292,238 146,119 438,358 219,179 657,538 328,769 986,308 493,154 246,577 739,732 369,866 184,933 554,800 277,400 138,700 69,350 34,675 104,026 52,013

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