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Atlas › Integer Profiles › Node 12,945,604

12,945,604

22 × 72 × 2572
Abundant Even Composite Square (√ = 3598)

12,945,604 factors as 2^2 × 7^2 × 257^2. Its 27 positive divisors give a proper-divisor sum of 13,510,889, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 257^2
Distinct Prime Factors 3
Square Status Yes (√12945604 = 3598)
Abundance Measure Abundant

Analytical Properties

Total Divisors 27
Divisor Sum (σ) 26,456,493
Proper Divisor Sum 13,510,889
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12945587 ← → #12945607

Radix Representation

Decimal 12945604
Binary 110001011000100011000100 (24 bits)
Octal 0o61304304
Hexadecimal 0xC588C4

Divisor Catalog (27)

1 2 4 7 14 28 49 98 196 257 514 1,028 1,799 3,598 7,196 12,593 25,186 50,372 66,049 132,098 264,196 462,343 924,686 1,849,372 3,236,401 6,472,802 12,945,604

Collatz Trajectory (241 steps to reach 1)

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

12,945,604 6,472,802 3,236,401 9,709,204 4,854,602 2,427,301 7,281,904 3,640,952 1,820,476 910,238 455,119 1,365,358 682,679 2,048,038 1,024,019 3,072,058 1,536,029 4,608,088 2,304,044 1,152,022 576,011 1,728,034 864,017 2,592,052 1,296,026 648,013 1,944,040 972,020 486,010 243,005 729,016 364,508 182,254 91,127 273,382 136,691 410,074 205,037 615,112 307,556 153,778 76,889 230,668 115,334 57,667 173,002 86,501 259,504 129,752 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114

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