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Atlas › Integer Profiles › Node 2,804,085

2,804,085

33 × 5 × 20771
Deficient Odd Composite

2,804,085 factors as 3^3 × 5 × 20771. Its 16 positive divisors give a proper-divisor sum of 2,181,195, so this integer is deficient. The Collatz stopping time is 50 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 20771
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,985,280
Proper Divisor Sum 2,181,195
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2804083 ← → #2804111

Radix Representation

Decimal 2804085
Binary 1010101100100101110101 (22 bits)
Octal 0o12544565
Hexadecimal 0x2AC975

Divisor Catalog (16)

1 3 5 9 15 27 45 135 20,771 62,313 103,855 186,939 311,565 560,817 934,695 2,804,085

Collatz Trajectory (50 steps to reach 1)

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

2,804,085 8,412,256 4,206,128 2,103,064 1,051,532 525,766 262,883 788,650 394,325 1,182,976 591,488 295,744 147,872 73,936 36,968 18,484 9,242 4,621 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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