57,724,938

2 × 3² × 3206941

57,724,938 factors as 2 × 3^2 × 3206941. Its 12 positive divisors give a proper-divisor sum of 67,345,800, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 3206941

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 125,070,738

Proper Divisor Sum 67,345,800

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #57724913 ← → #57724939

Radix Representation

Decimal	57724938
Binary	11011100001101000000001010 (26 bits)
Octal	0o334150012
Hexadecimal	0x370D00A

Divisor Catalog (12)

1 2 3 6 9 18 3,206,941 6,413,882 9,620,823 19,241,646 28,862,469 57,724,938

Collatz Trajectory (75 steps to reach 1)

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

57,724,938 28,862,469 86,587,408 43,293,704 21,646,852 10,823,426 5,411,713 16,235,140 8,117,570 4,058,785 12,176,356 6,088,178 3,044,089 9,132,268 4,566,134 2,283,067 6,849,202 3,424,601 10,273,804 5,136,902 2,568,451 7,705,354 3,852,677 11,558,032 5,779,016 2,889,508 1,444,754 722,377 2,167,132 1,083,566 541,783 1,625,350 812,675 2,438,026 1,219,013 3,657,040 1,828,520 914,260 457,130 228,565 685,696 342,848 171,424 85,712 42,856 21,428 10,714 5,357 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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