52,595,982

2 × 3² × 167 × 17497

52,595,982 factors as 2 × 3^2 × 167 × 17497. Its 24 positive divisors give a proper-divisor sum of 62,050,914, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 167 × 17497

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 114,646,896

Proper Divisor Sum 62,050,914

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #52595953 ← → #52595987

Radix Representation

Decimal	52595982
Binary	11001000101000110100001110 (26 bits)
Octal	0o310506416
Hexadecimal	0x3228D0E

Divisor Catalog (24)

Collatz Trajectory (168 steps to reach 1)

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

52,595,982 26,297,991 78,893,974 39,446,987 118,340,962 59,170,481 177,511,444 88,755,722 44,377,861 133,133,584 66,566,792 33,283,396 16,641,698 8,320,849 24,962,548 12,481,274 6,240,637 18,721,912 9,360,956 4,680,478 2,340,239 7,020,718 3,510,359 10,531,078 5,265,539 15,796,618 7,898,309 23,694,928 11,847,464 5,923,732 2,961,866 1,480,933 4,442,800 2,221,400 1,110,700 555,350 277,675 833,026 416,513 1,249,540 624,770 312,385 937,156 468,578 234,289 702,868 351,434 175,717 527,152 263,576 131,788 65,894 32,947 98,842 49,421 148,264 74,132 37,066 18,533 55,600

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