λ
Sequence Observatory

8,002,056

23 × 3 × 333419
Abundant Even Composite

Starting at 8,002,056, the Collatz iteration reaches 1 after 142 steps. The first transition is 4001028; the starting value is even with 16 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3 × 333419
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,005,200
Proper Divisor Sum 12,003,144
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8002051 ← → #8002067

Radix Representation

Decimal 8002056
Binary 11110100001101000001000 (23 bits)
Octal 0o36415010
Hexadecimal 0x7A1A08

Divisor Catalog (5 of 16)

1 2 3 4 6

Collatz Trajectory (142 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.

8,002,056 4,001,028 2,000,514 1,000,257 3,000,772

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