6,993,185

5 × 37 × 103 × 367

Starting at 6,993,185, the Collatz iteration reaches 1 after 191 steps. The first transition is 20979556; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 37 × 103 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,726,016

Proper Divisor Sum 1,732,831

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6993169 ← → #6993187

Radix Representation

Decimal	6993185
Binary	11010101011010100100001 (23 bits)
Octal	0o32532441
Hexadecimal	0x6AB521

Divisor Catalog (16)

1 5 37 103 185 367 515 1,835 3,811 13,579 19,055 37,801 67,895 189,005 1,398,637 6,993,185

Collatz Trajectory (191 steps to reach 1)

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

6,993,185 20,979,556 10,489,778 5,244,889 15,734,668 7,867,334 3,933,667 11,801,002 5,900,501 17,701,504 8,850,752 4,425,376 2,212,688 1,106,344 553,172 276,586 138,293 414,880 207,440 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235

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