57,499,025

5² × 29 × 79309

57,499,025 factors as 5^2 × 29 × 79309. Its 12 positive divisors give a proper-divisor sum of 16,259,275, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 5^2 × 29 × 79309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 73,758,300

Proper Divisor Sum 16,259,275

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #57499009 ← → #57499031

Radix Representation

Decimal	57499025
Binary	11011011010101110110010001 (26 bits)
Octal	0o333256621
Hexadecimal	0x36D5D91

Divisor Catalog (12)

1 5 25 29 145 725 79,309 396,545 1,982,725 2,299,961 11,499,805 57,499,025

Collatz Trajectory (93 steps to reach 1)

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

57,499,025 172,497,076 86,248,538 43,124,269 129,372,808 64,686,404 32,343,202 16,171,601 48,514,804 24,257,402 12,128,701 36,386,104 18,193,052 9,096,526 4,548,263 13,644,790 6,822,395 20,467,186 10,233,593 30,700,780 15,350,390 7,675,195 23,025,586 11,512,793 34,538,380 17,269,190 8,634,595 25,903,786 12,951,893 38,855,680 19,427,840 9,713,920 4,856,960 2,428,480 1,214,240 607,120 303,560 151,780 75,890 37,945 113,836 56,918 28,459 85,378 42,689 128,068 64,034 32,017 96,052 48,026 24,013 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132

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