52,265,754

2 × 3² × 677 × 4289

52,265,754 factors as 2 × 3^2 × 677 × 4289. Its 24 positive divisors give a proper-divisor sum of 61,170,426, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 677 × 4289

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 113,436,180

Proper Divisor Sum 61,170,426

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #52265753 ← → #52265761

Radix Representation

Decimal	52265754
Binary	11000111011000001100011010 (26 bits)
Octal	0o307301432
Hexadecimal	0x31D831A

Divisor Catalog (24)

Collatz Trajectory (181 steps to reach 1)

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

52,265,754 26,132,877 78,398,632 39,199,316 19,599,658 9,799,829 29,399,488 14,699,744 7,349,872 3,674,936 1,837,468 918,734 459,367 1,378,102 689,051 2,067,154 1,033,577 3,100,732 1,550,366 775,183 2,325,550 1,162,775 3,488,326 1,744,163 5,232,490 2,616,245 7,848,736 3,924,368 1,962,184 981,092 490,546 245,273 735,820 367,910 183,955 551,866 275,933 827,800 413,900 206,950 103,475 310,426 155,213 465,640 232,820 116,410 58,205 174,616 87,308 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209

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