λ
Ratio Atlas

83,196,347

13 × 6399719
Deficient Odd Composite

83,196,347 factors as 13 × 6399719. Its 4 positive divisors give a proper-divisor sum of 6,399,733, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 13 × 6399719
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 89,596,080
Proper Divisor Sum 6,399,733
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #83196329 ← → #83196367

Radix Representation

Decimal 83196347
Binary 100111101010111100110111011 (27 bits)
Octal 0o475274673
Hexadecimal 0x4F579BB

Divisor Catalog (4)

Collatz Trajectory (130 steps to reach 1)

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

83,196,347 249,589,042 124,794,521 374,383,564 187,191,782 93,595,891 280,787,674 140,393,837 421,181,512 210,590,756 105,295,378 52,647,689 157,943,068 78,971,534 39,485,767 118,457,302 59,228,651 177,685,954 88,842,977 266,528,932 133,264,466 66,632,233 199,896,700 99,948,350 49,974,175 149,922,526 74,961,263 224,883,790 112,441,895 337,325,686 168,662,843 505,988,530 252,994,265 758,982,796 379,491,398 189,745,699 569,237,098 284,618,549 853,855,648 426,927,824 213,463,912 106,731,956 53,365,978 26,682,989 80,048,968 40,024,484 20,012,242 10,006,121 30,018,364 15,009,182 7,504,591 22,513,774 11,256,887 33,770,662 16,885,331 50,655,994 25,327,997 75,983,992 37,991,996 18,995,998

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