λ
Sequence Observatory

7,729,370

2 × 5 × 11 × 29 × 2423
Abundant Even Composite

Starting at 7,729,370, the Collatz iteration reaches 1 after 310 steps. The first transition is 3864685; the starting value is even with 32 positive divisors.

Resources

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Prime Factor Structure

Factorization String 2 × 5 × 11 × 29 × 2423
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,707,520
Proper Divisor Sum 7,978,150
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7729369 ← → #7729391

Radix Representation

Decimal 7729370
Binary 11101011111000011011010 (23 bits)
Octal 0o35370332
Hexadecimal 0x75F0DA

Divisor Catalog (5 of 32)

1 2 5 10 11

Collatz Trajectory (310 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.

7,729,370 3,864,685 11,594,056 5,797,028 2,898,514

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