λ
Harmonic Matrix

2,337,744

24 × 3 × 113 × 431
Abundant Even Composite

2,337,744 has digital root 3. The neighboring primes are 2337737 and 2337761; its proper-divisor sum differs from the starting integer by 1,431,264.

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Prime Factor Structure

Factorization String 2^4 × 3 × 113 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,106,752
Proper Divisor Sum 3,769,008
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2337737 ← → #2337761

Radix Representation

Decimal 2337744
Binary 1000111010101111010000 (22 bits)
Octal 0o10725720
Hexadecimal 0x23ABD0

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (161 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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