λ
Sigma Notebook

8,693,139

3 × 72 × 13 × 4549
Deficient Odd Composite

8,693,139 is odd and not a perfect square. Its factorization is 3 × 7^2 × 13 × 4549 and its 24 divisors sum to 14,523,600.

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 4549
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,523,600
Proper Divisor Sum 5,830,461
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8693131 ← → #8693159

Radix Representation

Decimal 8693139
Binary 100001001010010110010011 (24 bits)
Octal 0o41122623
Hexadecimal 0x84A593

Divisor Catalog (24)

1 3 7 13 21 39 49 91 147 273 637 1,911 4,549 13,647 31,843 59,137 95,529 177,411 222,901 413,959 668,703 1,241,877 2,897,713 8,693,139

Collatz Trajectory (243 steps to reach 1)

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

8,693,139 26,079,418 13,039,709 39,119,128 19,559,564 9,779,782 4,889,891 14,669,674 7,334,837 22,004,512 11,002,256 5,501,128 2,750,564 1,375,282 687,641 2,062,924 1,031,462 515,731 1,547,194 773,597 2,320,792 1,160,396 580,198 290,099 870,298 435,149 1,305,448 652,724 326,362 163,181 489,544 244,772 122,386 61,193 183,580 91,790 45,895 137,686 68,843 206,530 103,265 309,796 154,898 77,449 232,348 116,174 58,087 174,262 87,131 261,394 130,697 392,092 196,046 98,023 294,070 147,035 441,106 220,553 661,660 330,830

More profiles

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