λ
Sequence Observatory

8,216,780

22 × 5 × 11 × 133 × 17
Abundant Even Composite

Starting at 8,216,780, the Collatz iteration reaches 1 after 199 steps. The first transition is 4108390; the starting value is even with 96 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 13^3 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 21,591,360
Proper Divisor Sum 13,374,580
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8216777 ← → #8216783

Radix Representation

Decimal 8216780
Binary 11111010110000011001100 (23 bits)
Octal 0o37260314
Hexadecimal 0x7D60CC

Divisor Catalog (5 of 96)

1 2 4 5 10

Collatz Trajectory (199 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.

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