λ
Ratio Atlas

80,929,193

80929193
Deficient Odd Prime

80,929,193 factors as 80929193. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 80929193
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 80,929,194
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #80929181 ← → #80929207

Radix Representation

Decimal 80929193
Binary 100110100101110000110101001 (27 bits)
Octal 0o464560651
Hexadecimal 0x4D2E1A9

Divisor Catalog (2)

Collatz Trajectory (223 steps to reach 1)

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

80,929,193 242,787,580 121,393,790 60,696,895 182,090,686 91,045,343 273,136,030 136,568,015 409,704,046 204,852,023 614,556,070 307,278,035 921,834,106 460,917,053 1,382,751,160 691,375,580 345,687,790 172,843,895 518,531,686 259,265,843 777,797,530 388,898,765 1,166,696,296 583,348,148 291,674,074 145,837,037 437,511,112 218,755,556 109,377,778 54,688,889 164,066,668 82,033,334 41,016,667 123,050,002 61,525,001 184,575,004 92,287,502 46,143,751 138,431,254 69,215,627 207,646,882 103,823,441 311,470,324 155,735,162 77,867,581 233,602,744 116,801,372 58,400,686 29,200,343 87,601,030 43,800,515 131,401,546 65,700,773 197,102,320 98,551,160 49,275,580 24,637,790 12,318,895 36,956,686 18,478,343

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