λ
Ratio Atlas

80,205,239

80205239
Deficient Odd Prime

80,205,239 factors as 80205239. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 80205239
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 80,205,240
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #80205227 ← → #80205247

Radix Representation

Decimal 80205239
Binary 100110001111101010110110111 (27 bits)
Octal 0o461752667
Hexadecimal 0x4C7D5B7

Divisor Catalog (2)

Collatz Trajectory (161 steps to reach 1)

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

80,205,239 240,615,718 120,307,859 360,923,578 180,461,789 541,385,368 270,692,684 135,346,342 67,673,171 203,019,514 101,509,757 304,529,272 152,264,636 76,132,318 38,066,159 114,198,478 57,099,239 171,297,718 85,648,859 256,946,578 128,473,289 385,419,868 192,709,934 96,354,967 289,064,902 144,532,451 433,597,354 216,798,677 650,396,032 325,198,016 162,599,008 81,299,504 40,649,752 20,324,876 10,162,438 5,081,219 15,243,658 7,621,829 22,865,488 11,432,744 5,716,372 2,858,186 1,429,093 4,287,280 2,143,640 1,071,820 535,910 267,955 803,866 401,933 1,205,800 602,900 301,450 150,725 452,176 226,088 113,044 56,522 28,261 84,784

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