57,727,562

2 × 23 × 47 × 26701

57,727,562 factors as 2 × 23 × 47 × 26701. Its 16 positive divisors give a proper-divisor sum of 34,554,550, so this integer is deficient. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2 × 23 × 47 × 26701

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 92,282,112

Proper Divisor Sum 34,554,550

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #57727561 ← → #57727577

Radix Representation

Decimal	57727562
Binary	11011100001101101001001010 (26 bits)
Octal	0o334155112
Hexadecimal	0x370DA4A

Divisor Catalog (16)

1 2 23 46 47 94 1,081 2,162 26,701 53,402 614,123 1,228,246 1,254,947 2,509,894 28,863,781 57,727,562

Collatz Trajectory (300 steps to reach 1)

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

57,727,562 28,863,781 86,591,344 43,295,672 21,647,836 10,823,918 5,411,959 16,235,878 8,117,939 24,353,818 12,176,909 36,530,728 18,265,364 9,132,682 4,566,341 13,699,024 6,849,512 3,424,756 1,712,378 856,189 2,568,568 1,284,284 642,142 321,071 963,214 481,607 1,444,822 722,411 2,167,234 1,083,617 3,250,852 1,625,426 812,713 2,438,140 1,219,070 609,535 1,828,606 914,303 2,742,910 1,371,455 4,114,366 2,057,183 6,171,550 3,085,775 9,257,326 4,628,663 13,885,990 6,942,995 20,828,986 10,414,493 31,243,480 15,621,740 7,810,870 3,905,435 11,716,306 5,858,153 17,574,460 8,787,230 4,393,615 13,180,846

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