λ
Sequence Observatory

8,212,716

22 × 32 × 228131
Abundant Even Composite

Starting at 8,212,716, the Collatz iteration reaches 1 after 111 steps. The first transition is 4106358; the starting value is even with 18 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 228131
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 20,760,012
Proper Divisor Sum 12,547,296
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8212703 ← → #8212723

Radix Representation

Decimal 8212716
Binary 11111010101000011101100 (23 bits)
Octal 0o37250354
Hexadecimal 0x7D50EC

Divisor Catalog (5 of 18)

1 2 3 4 6

Collatz Trajectory (111 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.

8,212,716 4,106,358 2,053,179 6,159,538 3,079,769

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