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6,901,600

25 × 52 × 8627
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 8627
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,850,484
Proper Divisor Sum 9,948,884
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6901597 ← → #6901613

Radix Representation

Decimal 6901600
Binary 11010010100111101100000 (23 bits)
Octal 0o32247540
Hexadecimal 0x694F60

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 8,627 17,254 34,508 43,135 69,016 86,270 138,032 172,540 215,675 276,064 345,080 431,350 690,160 862,700 1,380,320 1,725,400 3,450,800 6,901,600

Collatz Trajectory (98 steps to reach 1)

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

6,901,600 3,450,800 1,725,400 862,700 431,350 215,675 647,026 323,513 970,540 485,270 242,635 727,906 363,953 1,091,860 545,930 272,965 818,896 409,448 204,724 102,362 51,181 153,544 76,772 38,386 19,193 57,580 28,790 14,395 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203

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