λ
Ratio Atlas

83,179,067

83179067
Deficient Odd Prime

83,179,067 factors as 83179067. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 391 steps.

Prime Factor Structure

Factorization String 83179067
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 83,179,068
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #83179007 ← → #83179069

Radix Representation

Decimal 83179067
Binary 100111101010011011000111011 (27 bits)
Octal 0o475233073
Hexadecimal 0x4F5363B

Divisor Catalog (2)

Collatz Trajectory (391 steps to reach 1)

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

83,179,067 249,537,202 124,768,601 374,305,804 187,152,902 93,576,451 280,729,354 140,364,677 421,094,032 210,547,016 105,273,508 52,636,754 26,318,377 78,955,132 39,477,566 19,738,783 59,216,350 29,608,175 88,824,526 44,412,263 133,236,790 66,618,395 199,855,186 99,927,593 299,782,780 149,891,390 74,945,695 224,837,086 112,418,543 337,255,630 168,627,815 505,883,446 252,941,723 758,825,170 379,412,585 1,138,237,756 569,118,878 284,559,439 853,678,318 426,839,159 1,280,517,478 640,258,739 1,920,776,218 960,388,109 2,881,164,328 1,440,582,164 720,291,082 360,145,541 1,080,436,624 540,218,312 270,109,156 135,054,578 67,527,289 202,581,868 101,290,934 50,645,467 151,936,402 75,968,201 227,904,604 113,952,302

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