λ
Sigma Notebook

6,876,681

3 × 7 × 317 × 1033
Deficient Odd Composite

6,876,681 is odd and not a perfect square. Its factorization is 3 × 7 × 317 × 1033 and its 16 divisors sum to 10,521,984.

Prime Factor Structure

Factorization String 3 × 7 × 317 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,521,984
Proper Divisor Sum 3,645,303
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6876677 ← → #6876731

Radix Representation

Decimal 6876681
Binary 11010001110111000001001 (23 bits)
Octal 0o32167011
Hexadecimal 0x68EE09

Divisor Catalog (16)

1 3 7 21 317 951 1,033 2,219 3,099 6,657 7,231 21,693 327,461 982,383 2,292,227 6,876,681

Collatz Trajectory (129 steps to reach 1)

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

6,876,681 20,630,044 10,315,022 5,157,511 15,472,534 7,736,267 23,208,802 11,604,401 34,813,204 17,406,602 8,703,301 26,109,904 13,054,952 6,527,476 3,263,738 1,631,869 4,895,608 2,447,804 1,223,902 611,951 1,835,854 917,927 2,753,782 1,376,891 4,130,674 2,065,337 6,196,012 3,098,006 1,549,003 4,647,010 2,323,505 6,970,516 3,485,258 1,742,629 5,227,888 2,613,944 1,306,972 653,486 326,743 980,230 490,115 1,470,346 735,173 2,205,520 1,102,760 551,380 275,690 137,845 413,536 206,768 103,384 51,692 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618

More profiles

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