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Atlas › Integer Profiles › Node 1,020,105

1,020,105

32 × 5 × 22669
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 22669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,768,260
Proper Divisor Sum 748,155
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #1020101 ← → #1020109

Radix Representation

Decimal 1020105
Binary 11111001000011001001 (20 bits)
Octal 0o3710311
Hexadecimal 0xF90C9

Divisor Catalog (12)

1 3 5 9 15 45 22,669 68,007 113,345 204,021 340,035 1,020,105

Collatz Trajectory (59 steps to reach 1)

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

1,020,105 3,060,316 1,530,158 765,079 2,295,238 1,147,619 3,442,858 1,721,429 5,164,288 2,582,144 1,291,072 645,536 322,768 161,384 80,692 40,346 20,173 60,520 30,260 15,130 7,565 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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