λ
Ratio Atlas

80,901,761

80901761
Deficient Odd Prime

80,901,761 factors as 80901761. 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 80901761
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 80,901,762
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #80901749 ← → #80901809

Radix Representation

Decimal 80901761
Binary 100110100100111011010000001 (27 bits)
Octal 0o464473201
Hexadecimal 0x4D27681

Divisor Catalog (2)

Collatz Trajectory (223 steps to reach 1)

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

80,901,761 242,705,284 121,352,642 60,676,321 182,028,964 91,014,482 45,507,241 136,521,724 68,260,862 34,130,431 102,391,294 51,195,647 153,586,942 76,793,471 230,380,414 115,190,207 345,570,622 172,785,311 518,355,934 259,177,967 777,533,902 388,766,951 1,166,300,854 583,150,427 1,749,451,282 874,725,641 2,624,176,924 1,312,088,462 656,044,231 1,968,132,694 984,066,347 2,952,199,042 1,476,099,521 4,428,298,564 2,214,149,282 1,107,074,641 3,321,223,924 1,660,611,962 830,305,981 2,490,917,944 1,245,458,972 622,729,486 311,364,743 934,094,230 467,047,115 1,401,141,346 700,570,673 2,101,712,020 1,050,856,010 525,428,005 1,576,284,016 788,142,008 394,071,004 197,035,502 98,517,751 295,553,254 147,776,627 443,329,882 221,664,941 664,994,824

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