λ
Ratio Atlas

52,845,167

52845167
Deficient Odd Prime

52,845,167 factors as 52845167. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 52845167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 52,845,168
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #52845157 ← → #52845193

Radix Representation

Decimal 52845167
Binary 11001001100101101001101111 (26 bits)
Octal 0o311455157
Hexadecimal 0x3265A6F

Divisor Catalog (2)

Collatz Trajectory (212 steps to reach 1)

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

52,845,167 158,535,502 79,267,751 237,803,254 118,901,627 356,704,882 178,352,441 535,057,324 267,528,662 133,764,331 401,292,994 200,646,497 601,939,492 300,969,746 150,484,873 451,454,620 225,727,310 112,863,655 338,590,966 169,295,483 507,886,450 253,943,225 761,829,676 380,914,838 190,457,419 571,372,258 285,686,129 857,058,388 428,529,194 214,264,597 642,793,792 321,396,896 160,698,448 80,349,224 40,174,612 20,087,306 10,043,653 30,130,960 15,065,480 7,532,740 3,766,370 1,883,185 5,649,556 2,824,778 1,412,389 4,237,168 2,118,584 1,059,292 529,646 264,823 794,470 397,235 1,191,706 595,853 1,787,560 893,780 446,890 223,445 670,336 335,168

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