51,628,125

3 × 5⁵ × 5507

51,628,125 factors as 3 × 5^5 × 5507. Its 24 positive divisors give a proper-divisor sum of 34,428,867, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3 × 5^5 × 5507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 86,056,992

Proper Divisor Sum 34,428,867

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #51628117 ← → #51628141

Radix Representation

Decimal	51628125
Binary	11000100111100100001011101 (26 bits)
Octal	0o304744135
Hexadecimal	0x313C85D

Divisor Catalog (24)

Collatz Trajectory (181 steps to reach 1)

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

51,628,125 154,884,376 77,442,188 38,721,094 19,360,547 58,081,642 29,040,821 87,122,464 43,561,232 21,780,616 10,890,308 5,445,154 2,722,577 8,167,732 4,083,866 2,041,933 6,125,800 3,062,900 1,531,450 765,725 2,297,176 1,148,588 574,294 287,147 861,442 430,721 1,292,164 646,082 323,041 969,124 484,562 242,281 726,844 363,422 181,711 545,134 272,567 817,702 408,851 1,226,554 613,277 1,839,832 919,916 459,958 229,979 689,938 344,969 1,034,908 517,454 258,727 776,182 388,091 1,164,274 582,137 1,746,412 873,206 436,603 1,309,810 654,905 1,964,716

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