λ
Sequence Observatory

2,277,812

22 × 521 × 1093
Deficient Even Composite

Starting at 2,277,812, the Collatz iteration reaches 1 after 78 steps. The first transition is 1138906; the starting value is even with 12 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 521 × 1093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,997,476
Proper Divisor Sum 1,719,664
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2277811 ← → #2277817

Radix Representation

Decimal 2277812
Binary 1000101100000110110100 (22 bits)
Octal 0o10540664
Hexadecimal 0x22C1B4

Divisor Catalog (5 of 12)

1 2 4 521 1,042

Collatz Trajectory (78 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.

2,277,812 1,138,906 569,453 1,708,360 854,180

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