λ
Sequence Observatory

4,229,628

22 × 3 × 13 × 19 × 1427
Abundant Even Composite

Starting at 4,229,628, the Collatz iteration reaches 1 after 105 steps. The first transition is 2114814; the starting value is even with 48 positive divisors.

Resources

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Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 19 × 1427
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,195,520
Proper Divisor Sum 6,965,892
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4229623 ← → #4229633

Radix Representation

Decimal 4229628
Binary 10000001000100111111100 (23 bits)
Octal 0o20104774
Hexadecimal 0x4089FC

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (105 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.

4,229,628 2,114,814 1,057,407 3,172,222 1,586,111

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