λ
Ratio Atlas

83,171,323

83171323
Deficient Odd Prime

83,171,323 factors as 83171323. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 83171323
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 83,171,324
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #83171287 ← → #83171339

Radix Representation

Decimal 83171323
Binary 100111101010001011111111011 (27 bits)
Octal 0o475213773
Hexadecimal 0x4F517FB

Divisor Catalog (2)

Collatz Trajectory (210 steps to reach 1)

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

83,171,323 249,513,970 124,756,985 374,270,956 187,135,478 93,567,739 280,703,218 140,351,609 421,054,828 210,527,414 105,263,707 315,791,122 157,895,561 473,686,684 236,843,342 118,421,671 355,265,014 177,632,507 532,897,522 266,448,761 799,346,284 399,673,142 199,836,571 599,509,714 299,754,857 899,264,572 449,632,286 224,816,143 674,448,430 337,224,215 1,011,672,646 505,836,323 1,517,508,970 758,754,485 2,276,263,456 1,138,131,728 569,065,864 284,532,932 142,266,466 71,133,233 213,399,700 106,699,850 53,349,925 160,049,776 80,024,888 40,012,444 20,006,222 10,003,111 30,009,334 15,004,667 45,014,002 22,507,001 67,521,004 33,760,502 16,880,251 50,640,754 25,320,377 75,961,132 37,980,566 18,990,283

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