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2,115,200

27 × 52 × 661
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5^2 × 661
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,233,110
Proper Divisor Sum 3,117,910
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2115193 ← → #2115203

Radix Representation

Decimal 2115200
Binary 1000000100011010000000 (22 bits)
Octal 0o10043200
Hexadecimal 0x204680

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 661 800 1,322 1,600 2,644 3,200 3,305 5,288 6,610 10,576 13,220 16,525 21,152 26,440 33,050 42,304 52,880 66,100 84,608 105,760 132,200 211,520 264,400 423,040 528,800 1,057,600 2,115,200

Collatz Trajectory (135 steps to reach 1)

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

2,115,200 1,057,600 528,800 264,400 132,200 66,100 33,050 16,525 49,576 24,788 12,394 6,197 18,592 9,296 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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