57,737,616

2⁴ × 3 × 1202867

57,737,616 factors as 2^4 × 3 × 1202867. Its 20 positive divisors give a proper-divisor sum of 91,418,016, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 1202867

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 149,155,632

Proper Divisor Sum 91,418,016

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #57737609 ← → #57737623

Radix Representation

Decimal	57737616
Binary	11011100010000000110010000 (26 bits)
Octal	0o334200620
Hexadecimal	0x3710190

Divisor Catalog (20)

Collatz Trajectory (176 steps to reach 1)

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

57,737,616 28,868,808 14,434,404 7,217,202 3,608,601 10,825,804 5,412,902 2,706,451 8,119,354 4,059,677 12,179,032 6,089,516 3,044,758 1,522,379 4,567,138 2,283,569 6,850,708 3,425,354 1,712,677 5,138,032 2,569,016 1,284,508 642,254 321,127 963,382 481,691 1,445,074 722,537 2,167,612 1,083,806 541,903 1,625,710 812,855 2,438,566 1,219,283 3,657,850 1,828,925 5,486,776 2,743,388 1,371,694 685,847 2,057,542 1,028,771 3,086,314 1,543,157 4,629,472 2,314,736 1,157,368 578,684 289,342 144,671 434,014 217,007 651,022 325,511 976,534 488,267 1,464,802 732,401 2,197,204

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