757,204

2² × 7 × 27043

757,204 factors as 2^2 × 7 × 27043. Its 12 positive divisors give a proper-divisor sum of 757,260, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 27043

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,514,464

Proper Divisor Sum 757,260

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #757201 ← → #757241

Radix Representation

Decimal	757204
Binary	10111000110111010100 (20 bits)
Octal	0o2706724
Hexadecimal	0xB8DD4

Divisor Catalog (12)

1 2 4 7 14 28 27,043 54,086 108,172 189,301 378,602 757,204

Collatz Trajectory (180 steps to reach 1)

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

757,204 378,602 189,301 567,904 283,952 141,976 70,988 35,494 17,747 53,242 26,621 79,864 39,932 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822

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