λ
Integer Codex

3,005,267

3005267
Deficient Odd Prime

For 3,005,267, the 2 positive divisors have a total of 3,005,268. Removing 3,005,267 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 3005267
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,005,268
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3005237 ← → #3005269

Radix Representation

Decimal 3005267
Binary 1011011101101101010011 (22 bits)
Octal 0o13355523
Hexadecimal 0x2DDB53

Divisor Catalog (2)

Collatz Trajectory (182 steps to reach 1)

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

3,005,267 9,015,802 4,507,901 13,523,704 6,761,852 3,380,926 1,690,463 5,071,390 2,535,695 7,607,086 3,803,543 11,410,630 5,705,315 17,115,946 8,557,973 25,673,920 12,836,960 6,418,480 3,209,240 1,604,620 802,310 401,155 1,203,466 601,733 1,805,200 902,600 451,300 225,650 112,825 338,476 169,238 84,619 253,858 126,929 380,788 190,394 95,197 285,592 142,796 71,398 35,699 107,098 53,549 160,648 80,324 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530

More profiles

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