3,668,949

3³ × 135887

Starting at 3,668,949, the Collatz iteration reaches 1 after 203 steps. The first transition is 11006848; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 135887

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,435,520

Proper Divisor Sum 1,766,571

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3668941 ← → #3668953

Radix Representation

Decimal	3668949
Binary	1101111111101111010101 (22 bits)
Octal	0o15775725
Hexadecimal	0x37FBD5

Divisor Catalog (8)

1 3 9 27 135,887 407,661 1,222,983 3,668,949

Collatz Trajectory (203 steps to reach 1)

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

3,668,949 11,006,848 5,503,424 2,751,712 1,375,856 687,928 343,964 171,982 85,991 257,974 128,987 386,962 193,481 580,444 290,222 145,111 435,334 217,667 653,002 326,501 979,504 489,752 244,876 122,438 61,219 183,658 91,829 275,488 137,744 68,872 34,436 17,218 8,609 25,828 12,914 6,457 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881

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