λ
Sigma Notebook

8,608,691

7 × 132 × 19 × 383
Deficient Odd Composite

8,608,691 is odd and not a perfect square. Its factorization is 7 × 13^2 × 19 × 383 and its 24 divisors sum to 11,243,520.

Prime Factor Structure

Factorization String 7 × 13^2 × 19 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,243,520
Proper Divisor Sum 2,634,829
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8608673 ← → #8608727

Radix Representation

Decimal 8608691
Binary 100000110101101110110011 (24 bits)
Octal 0o40655663
Hexadecimal 0x835BB3

Divisor Catalog (24)

1 7 13 19 91 133 169 247 383 1,183 1,729 2,681 3,211 4,979 7,277 22,477 34,853 50,939 64,727 94,601 453,089 662,207 1,229,813 8,608,691

Collatz Trajectory (80 steps to reach 1)

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

8,608,691 25,826,074 12,913,037 38,739,112 19,369,556 9,684,778 4,842,389 14,527,168 7,263,584 3,631,792 1,815,896 907,948 453,974 226,987 680,962 340,481 1,021,444 510,722 255,361 766,084 383,042 191,521 574,564 287,282 143,641 430,924 215,462 107,731 323,194 161,597 484,792 242,396 121,198 60,599 181,798 90,899 272,698 136,349 409,048 204,524 102,262 51,131 153,394 76,697 230,092 115,046 57,523 172,570 86,285 258,856 129,428 64,714 32,357 97,072 48,536 24,268 12,134 6,067 18,202 9,101

More profiles

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