3,967,200

2⁵ × 3² × 5² × 19 × 29

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 19 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 15,233,400

Proper Divisor Sum 11,266,200

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3967193 ← → #3967207

Radix Representation

Decimal	3967200
Binary	1111001000100011100000 (22 bits)
Octal	0o17104340
Hexadecimal	0x3C88E0

Divisor Catalog (60 of 216)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 29 30 32 36 38 40 45 48 50 57 58 60 72 75 76 80 87 90 95 96 100 114 116 120 144 145 150 152 160 171 174 180 190 200 225 228 232 240 261 285 288 290 300

Collatz Trajectory (141 steps to reach 1)

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

3,967,200 1,983,600 991,800 495,900 247,950 123,975 371,926 185,963 557,890 278,945 836,836 418,418 209,209 627,628 313,814 156,907 470,722 235,361 706,084 353,042 176,521 529,564 264,782 132,391 397,174 198,587 595,762 297,881 893,644 446,822 223,411 670,234 335,117 1,005,352 502,676 251,338 125,669 377,008 188,504 94,252 47,126 23,563 70,690 35,345 106,036 53,018 26,509 79,528 39,764 19,882 9,941 29,824 14,912 7,456 3,728 1,864 932 466 233 700

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