λ
Sequence Observatory

7,118,224

24 × 232 × 292
Abundant Even Composite Square (√ = 2668)

Starting at 7,118,224, the Collatz iteration reaches 1 after 121 steps. The first transition is 3559112; the starting value is even with 45 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 23^2 × 29^2
Distinct Prime Factors 3
Square Status Yes (√7118224 = 2668)
Abundance Measure Abundant

Analytical Properties

Total Divisors 45
Divisor Sum (σ) 14,931,553
Proper Divisor Sum 7,813,329
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7118219 ← → #7118231

Radix Representation

Decimal 7118224
Binary 11011001001110110010000 (23 bits)
Octal 0o33116620
Hexadecimal 0x6C9D90

Divisor Catalog (5 of 45)

1 2 4 8 16

Collatz Trajectory (121 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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