λ
Sigma Notebook

8,159,676

22 × 3 × 72 × 13877
Abundant Even Composite

8,159,676 is even and not a perfect square. Its factorization is 2^2 × 3 × 7^2 × 13877 and its 36 divisors sum to 22,149,288.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 13877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,149,288
Proper Divisor Sum 13,989,612
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8159663 ← → #8159681

Radix Representation

Decimal 8159676
Binary 11111001000000110111100 (23 bits)
Octal 0o37100674
Hexadecimal 0x7C81BC

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 13,877 27,754 41,631 55,508 83,262 97,139 166,524 194,278 291,417 388,556 582,834 679,973 1,165,668 1,359,946 2,039,919 2,719,892 4,079,838 8,159,676

Collatz Trajectory (111 steps to reach 1)

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

8,159,676 4,079,838 2,039,919 6,119,758 3,059,879 9,179,638 4,589,819 13,769,458 6,884,729 20,654,188 10,327,094 5,163,547 15,490,642 7,745,321 23,235,964 11,617,982 5,808,991 17,426,974 8,713,487 26,140,462 13,070,231 39,210,694 19,605,347 58,816,042 29,408,021 88,224,064 44,112,032 22,056,016 11,028,008 5,514,004 2,757,002 1,378,501 4,135,504 2,067,752 1,033,876 516,938 258,469 775,408 387,704 193,852 96,926 48,463 145,390 72,695 218,086 109,043 327,130 163,565 490,696 245,348 122,674 61,337 184,012 92,006 46,003 138,010 69,005 207,016 103,508 51,754

More profiles

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