λ
Sequence Observatory

4,394,004

22 × 3 × 366167
Abundant Even Composite

Starting at 4,394,004, the Collatz iteration reaches 1 after 61 steps. The first transition is 2197002; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 366167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,252,704
Proper Divisor Sum 5,858,700
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4393999 ← → #4394021

Radix Representation

Decimal 4394004
Binary 10000110000110000010100 (23 bits)
Octal 0o20606024
Hexadecimal 0x430C14

Divisor Catalog (12)

1 2 3 4 6 12 366,167 732,334 1,098,501 1,464,668 2,197,002 4,394,004

Collatz Trajectory (61 steps to reach 1)

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

4,394,004 2,197,002 1,098,501 3,295,504 1,647,752 823,876 411,938 205,969 617,908 308,954 154,477 463,432 231,716 115,858 57,929 173,788 86,894 43,447 130,342 65,171 195,514 97,757 293,272 146,636 73,318 36,659 109,978 54,989 164,968 82,484 41,242 20,621 61,864 30,932 15,466 7,733 23,200 11,600 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4

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