57,727,767

3 × 17 × 1131917

57,727,767 factors as 3 × 17 × 1131917. Its 8 positive divisors give a proper-divisor sum of 23,770,329, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3 × 17 × 1131917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 81,498,096

Proper Divisor Sum 23,770,329

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #57727729 ← → #57727771

Radix Representation

Decimal	57727767
Binary	11011100001101101100010111 (26 bits)
Octal	0o334155427
Hexadecimal	0x370DB17

Divisor Catalog (8)

1 3 17 51 1,131,917 3,395,751 19,242,589 57,727,767

Collatz Trajectory (225 steps to reach 1)

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

57,727,767 173,183,302 86,591,651 259,774,954 129,887,477 389,662,432 194,831,216 97,415,608 48,707,804 24,353,902 12,176,951 36,530,854 18,265,427 54,796,282 27,398,141 82,194,424 41,097,212 20,548,606 10,274,303 30,822,910 15,411,455 46,234,366 23,117,183 69,351,550 34,675,775 104,027,326 52,013,663 156,040,990 78,020,495 234,061,486 117,030,743 351,092,230 175,546,115 526,638,346 263,319,173 789,957,520 394,978,760 197,489,380 98,744,690 49,372,345 148,117,036 74,058,518 37,029,259 111,087,778 55,543,889 166,631,668 83,315,834 41,657,917 124,973,752 62,486,876 31,243,438 15,621,719 46,865,158 23,432,579 70,297,738 35,148,869 105,446,608 52,723,304 26,361,652 13,180,826

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