λ
Matchaa Zalai

6,171,693

3 × 11 × 29 × 6449
Deficient Odd Composite

6,171,693 factors as 3 × 11 × 29 × 6449. Its 16 positive divisors give a proper-divisor sum of 3,116,307, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 11 × 29 × 6449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,288,000
Proper Divisor Sum 3,116,307
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6171679 ← → #6171701

Radix Representation

Decimal 6171693
Binary 10111100010110000101101 (23 bits)
Octal 0o27426055
Hexadecimal 0x5E2C2D

Divisor Catalog (16)

1 3 11 29 33 87 319 957 6,449 19,347 70,939 187,021 212,817 561,063 2,057,231 6,171,693

Collatz Trajectory (214 steps to reach 1)

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

6,171,693 18,515,080 9,257,540 4,628,770 2,314,385 6,943,156 3,471,578 1,735,789 5,207,368 2,603,684 1,301,842 650,921 1,952,764 976,382 488,191 1,464,574 732,287 2,196,862 1,098,431 3,295,294 1,647,647 4,942,942 2,471,471 7,414,414 3,707,207 11,121,622 5,560,811 16,682,434 8,341,217 25,023,652 12,511,826 6,255,913 18,767,740 9,383,870 4,691,935 14,075,806 7,037,903 21,113,710 10,556,855 31,670,566 15,835,283 47,505,850 23,752,925 71,258,776 35,629,388 17,814,694 8,907,347 26,722,042 13,361,021 40,083,064 20,041,532 10,020,766 5,010,383 15,031,150 7,515,575 22,546,726 11,273,363 33,820,090 16,910,045 50,730,136

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