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6,327,240

23 × 3 × 5 × 52727
Abundant Even Composite

6,327,240 factors as 2^3 × 3 × 5 × 52727. Its 32 positive divisors give a proper-divisor sum of 12,654,840, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 52727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,982,080
Proper Divisor Sum 12,654,840
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6327239 ← → #6327241

Radix Representation

Decimal 6327240
Binary 11000001000101111001000 (23 bits)
Octal 0o30105710
Hexadecimal 0x608BC8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 52,727 105,454 158,181 210,908 263,635 316,362 421,816 527,270 632,724 790,905 1,054,540 1,265,448 1,581,810 2,109,080 3,163,620 6,327,240

Collatz Trajectory (103 steps to reach 1)

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

6,327,240 3,163,620 1,581,810 790,905 2,372,716 1,186,358 593,179 1,779,538 889,769 2,669,308 1,334,654 667,327 2,001,982 1,000,991 3,002,974 1,501,487 4,504,462 2,252,231 6,756,694 3,378,347 10,135,042 5,067,521 15,202,564 7,601,282 3,800,641 11,401,924 5,700,962 2,850,481 8,551,444 4,275,722 2,137,861 6,413,584 3,206,792 1,603,396 801,698 400,849 1,202,548 601,274 300,637 901,912 450,956 225,478 112,739 338,218 169,109 507,328 253,664 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689

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