λ
Harmonic Matrix

3,008,730

2 × 3 × 5 × 100291
Abundant Even Composite

3,008,730 has digital root 3. The neighboring primes are 3008723 and 3008741; its proper-divisor sum differs from the starting integer by 1,203,564.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 100291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,221,024
Proper Divisor Sum 4,212,294
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3008723 ← → #3008741

Radix Representation

Decimal 3008730
Binary 1011011110100011011010 (22 bits)
Octal 0o13364332
Hexadecimal 0x2DE8DA

Divisor Catalog (5 of 16)

1 2 3 5 6

Collatz Trajectory (151 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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