57,764,052

2² × 3² × 1604557

57,764,052 factors as 2^2 × 3^2 × 1604557. Its 18 positive divisors give a proper-divisor sum of 88,250,726, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 1604557

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 146,014,778

Proper Divisor Sum 88,250,726

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #57764051 ← → #57764107

Radix Representation

Decimal	57764052
Binary	11011100010110100011010100 (26 bits)
Octal	0o334264324
Hexadecimal	0x37168D4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 1,604,557 3,209,114 4,813,671 6,418,228 9,627,342 14,441,013 19,254,684 28,882,026 57,764,052

Collatz Trajectory (119 steps to reach 1)

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

57,764,052 28,882,026 14,441,013 43,323,040 21,661,520 10,830,760 5,415,380 2,707,690 1,353,845 4,061,536 2,030,768 1,015,384 507,692 253,846 126,923 380,770 190,385 571,156 285,578 142,789 428,368 214,184 107,092 53,546 26,773 80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192

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