λ
Sigma Notebook

8,740,171

11 × 192 × 31 × 71
Deficient Odd Composite

8,740,171 is odd and not a perfect square. Its factorization is 11 × 19^2 × 31 × 71 and its 24 divisors sum to 10,533,888.

Prime Factor Structure

Factorization String 11 × 19^2 × 31 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,533,888
Proper Divisor Sum 1,793,717
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8740169 ← → #8740183

Radix Representation

Decimal 8740171
Binary 100001010101110101001011 (24 bits)
Octal 0o41256513
Hexadecimal 0x855D4B

Divisor Catalog (24)

1 11 19 31 71 209 341 361 589 781 1,349 2,201 3,971 6,479 11,191 14,839 24,211 25,631 41,819 123,101 281,941 460,009 794,561 8,740,171

Collatz Trajectory (173 steps to reach 1)

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

8,740,171 26,220,514 13,110,257 39,330,772 19,665,386 9,832,693 29,498,080 14,749,040 7,374,520 3,687,260 1,843,630 921,815 2,765,446 1,382,723 4,148,170 2,074,085 6,222,256 3,111,128 1,555,564 777,782 388,891 1,166,674 583,337 1,750,012 875,006 437,503 1,312,510 656,255 1,968,766 984,383 2,953,150 1,476,575 4,429,726 2,214,863 6,644,590 3,322,295 9,966,886 4,983,443 14,950,330 7,475,165 22,425,496 11,212,748 5,606,374 2,803,187 8,409,562 4,204,781 12,614,344 6,307,172 3,153,586 1,576,793 4,730,380 2,365,190 1,182,595 3,547,786 1,773,893 5,321,680 2,660,840 1,330,420 665,210 332,605

More profiles

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