57,728,439

3² × 349 × 18379

57,728,439 factors as 3^2 × 349 × 18379. Its 12 positive divisors give a proper-divisor sum of 25,900,561, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 3^2 × 349 × 18379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 83,629,000

Proper Divisor Sum 25,900,561

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #57728431 ← → #57728449

Radix Representation

Decimal	57728439
Binary	11011100001101110110110111 (26 bits)
Octal	0o334156667
Hexadecimal	0x370DDB7

Divisor Catalog (12)

1 3 9 349 1,047 3,141 18,379 55,137 165,411 6,414,271 19,242,813 57,728,439

Collatz Trajectory (75 steps to reach 1)

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

57,728,439 173,185,318 86,592,659 259,777,978 129,888,989 389,666,968 194,833,484 97,416,742 48,708,371 146,125,114 73,062,557 219,187,672 109,593,836 54,796,918 27,398,459 82,195,378 41,097,689 123,293,068 61,646,534 30,823,267 92,469,802 46,234,901 138,704,704 69,352,352 34,676,176 17,338,088 8,669,044 4,334,522 2,167,261 6,501,784 3,250,892 1,625,446 812,723 2,438,170 1,219,085 3,657,256 1,828,628 914,314 457,157 1,371,472 685,736 342,868 171,434 85,717 257,152 128,576 64,288 32,144 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696

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