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Atlas › Integer Profiles › Node 52,845,102

52,845,102

2 × 33 × 37 × 26449
Abundant Even Composite

52,845,102 factors as 2 × 3^3 × 37 × 26449. Its 32 positive divisors give a proper-divisor sum of 67,766,898, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 37 × 26449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 120,612,000
Proper Divisor Sum 67,766,898
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #52845071 ← → #52845109

Radix Representation

Decimal 52845102
Binary 11001001100101101000101110 (26 bits)
Octal 0o311455056
Hexadecimal 0x3265A2E

Divisor Catalog (32)

1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1,998 26,449 52,898 79,347 158,694 238,041 476,082 714,123 978,613 1,428,246 1,957,226 2,935,839 5,871,678 8,807,517 17,615,034 26,422,551 52,845,102

Collatz Trajectory (173 steps to reach 1)

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

52,845,102 26,422,551 79,267,654 39,633,827 118,901,482 59,450,741 178,352,224 89,176,112 44,588,056 22,294,028 11,147,014 5,573,507 16,720,522 8,360,261 25,080,784 12,540,392 6,270,196 3,135,098 1,567,549 4,702,648 2,351,324 1,175,662 587,831 1,763,494 881,747 2,645,242 1,322,621 3,967,864 1,983,932 991,966 495,983 1,487,950 743,975 2,231,926 1,115,963 3,347,890 1,673,945 5,021,836 2,510,918 1,255,459 3,766,378 1,883,189 5,649,568 2,824,784 1,412,392 706,196 353,098 176,549 529,648 264,824 132,412 66,206 33,103 99,310 49,655 148,966 74,483 223,450 111,725 335,176

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