λ
Sequence Observatory

8,227,405

5 × 17 × 43 × 2251
Deficient Odd Composite

Starting at 8,227,405, the Collatz iteration reaches 1 after 261 steps. The first transition is 24682216; the starting value is odd with 16 positive divisors.

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Prime Factor Structure

Factorization String 5 × 17 × 43 × 2251
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,701,504
Proper Divisor Sum 2,474,099
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8227403 ← → #8227411

Radix Representation

Decimal 8227405
Binary 11111011000101001001101 (23 bits)
Octal 0o37305115
Hexadecimal 0x7D8A4D

Divisor Catalog (5 of 16)

1 5 17 43 85

Collatz Trajectory (261 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,227,405 24,682,216 12,341,108 6,170,554 3,085,277

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