λ
Sigma Notebook

8,683,017

3 × 7 × 413477
Deficient Odd Composite

8,683,017 is odd and not a perfect square. Its factorization is 3 × 7 × 413477 and its 8 divisors sum to 13,231,296.

Prime Factor Structure

Factorization String 3 × 7 × 413477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,231,296
Proper Divisor Sum 4,548,279
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8683013 ← → #8683027

Radix Representation

Decimal 8683017
Binary 100001000111111000001001 (24 bits)
Octal 0o41077011
Hexadecimal 0x847E09

Divisor Catalog (8)

1 3 7 21 413,477 1,240,431 2,894,339 8,683,017

Collatz Trajectory (119 steps to reach 1)

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

8,683,017 26,049,052 13,024,526 6,512,263 19,536,790 9,768,395 29,305,186 14,652,593 43,957,780 21,978,890 10,989,445 32,968,336 16,484,168 8,242,084 4,121,042 2,060,521 6,181,564 3,090,782 1,545,391 4,636,174 2,318,087 6,954,262 3,477,131 10,431,394 5,215,697 15,647,092 7,823,546 3,911,773 11,735,320 5,867,660 2,933,830 1,466,915 4,400,746 2,200,373 6,601,120 3,300,560 1,650,280 825,140 412,570 206,285 618,856 309,428 154,714 77,357 232,072 116,036 58,018 29,009 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718 18,359 55,078

More profiles

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