λ
Sequence Observatory

3,326,213

11 × 29 × 10427
Deficient Odd Composite

Starting at 3,326,213, the Collatz iteration reaches 1 after 58 steps. The first transition is 9978640; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 29 × 10427
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,754,080
Proper Divisor Sum 427,867
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3326209 ← → #3326249

Radix Representation

Decimal 3326213
Binary 1100101100000100000101 (22 bits)
Octal 0o14540405
Hexadecimal 0x32C105

Divisor Catalog (8)

1 11 29 319 10,427 114,697 302,383 3,326,213

Collatz Trajectory (58 steps to reach 1)

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

3,326,213 9,978,640 4,989,320 2,494,660 1,247,330 623,665 1,870,996 935,498 467,749 1,403,248 701,624 350,812 175,406 87,703 263,110 131,555 394,666 197,333 592,000 296,000 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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