3,976,200

2³ × 3² × 5² × 47²

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 47^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 13,643,565

Proper Divisor Sum 9,667,365

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3976199 ← → #3976207

Radix Representation

Decimal	3976200
Binary	1111001010110000001000 (22 bits)
Octal	0o17126010
Hexadecimal	0x3CAC08

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 47 50 60 72 75 90 94 100 120 141 150 180 188 200 225 235 282 300 360 376 423 450 470 564 600 705 846 900 940 1,128 1,175 1,410 1,692 1,800 1,880 2,115 2,209 2,350 2,820 3,384 3,525

Collatz Trajectory (123 steps to reach 1)

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

3,976,200 1,988,100 994,050 497,025 1,491,076 745,538 372,769 1,118,308 559,154 279,577 838,732 419,366 209,683 629,050 314,525 943,576 471,788 235,894 117,947 353,842 176,921 530,764 265,382 132,691 398,074 199,037 597,112 298,556 149,278 74,639 223,918 111,959 335,878 167,939 503,818 251,909 755,728 377,864 188,932 94,466 47,233 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222

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