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Atlas › Integer Profiles › Node 3,079,934

3,079,934

2 × 113 × 13 × 89
Deficient Even Composite

3,079,934 factors as 2 × 11^3 × 13 × 89. Its 32 positive divisors give a proper-divisor sum of 2,453,986, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 11^3 × 13 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,533,920
Proper Divisor Sum 2,453,986
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3079933 ← → #3079939

Radix Representation

Decimal 3079934
Binary 1011101111111011111110 (22 bits)
Octal 0o13577376
Hexadecimal 0x2EFEFE

Divisor Catalog (32)

1 2 11 13 22 26 89 121 143 178 242 286 979 1,157 1,331 1,573 1,958 2,314 2,662 3,146 10,769 12,727 17,303 21,538 25,454 34,606 118,459 139,997 236,918 279,994 1,539,967 3,079,934

Collatz Trajectory (107 steps to reach 1)

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

3,079,934 1,539,967 4,619,902 2,309,951 6,929,854 3,464,927 10,394,782 5,197,391 15,592,174 7,796,087 23,388,262 11,694,131 35,082,394 17,541,197 52,623,592 26,311,796 13,155,898 6,577,949 19,733,848 9,866,924 4,933,462 2,466,731 7,400,194 3,700,097 11,100,292 5,550,146 2,775,073 8,325,220 4,162,610 2,081,305 6,243,916 3,121,958 1,560,979 4,682,938 2,341,469 7,024,408 3,512,204 1,756,102 878,051 2,634,154 1,317,077 3,951,232 1,975,616 987,808 493,904 246,952 123,476 61,738 30,869 92,608 46,304 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257

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