λ
Sigma Notebook

2,842,085

5 × 43 × 13219
Deficient Odd Composite

2,842,085 is odd and not a perfect square. Its factorization is 5 × 43 × 13219 and its 8 divisors sum to 3,490,080.

Prime Factor Structure

Factorization String 5 × 43 × 13219
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,490,080
Proper Divisor Sum 647,995
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2842069 ← → #2842097

Radix Representation

Decimal 2842085
Binary 1010110101110111100101 (22 bits)
Octal 0o12656745
Hexadecimal 0x2B5DE5

Divisor Catalog (8)

1 5 43 215 13,219 66,095 568,417 2,842,085

Collatz Trajectory (107 steps to reach 1)

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

2,842,085 8,526,256 4,263,128 2,131,564 1,065,782 532,891 1,598,674 799,337 2,398,012 1,199,006 599,503 1,798,510 899,255 2,697,766 1,348,883 4,046,650 2,023,325 6,069,976 3,034,988 1,517,494 758,747 2,276,242 1,138,121 3,414,364 1,707,182 853,591 2,560,774 1,280,387 3,841,162 1,920,581 5,761,744 2,880,872 1,440,436 720,218 360,109 1,080,328 540,164 270,082 135,041 405,124 202,562 101,281 303,844 151,922 75,961 227,884 113,942 56,971 170,914 85,457 256,372 128,186 64,093 192,280 96,140 48,070 24,035 72,106 36,053 108,160

More profiles

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