λ
Harmonic Matrix

3,739,152

24 × 3 × 77899
Abundant Even Composite

3,739,152 has digital root 3. The neighboring primes are 3739139 and 3739163; its proper-divisor sum differs from the starting integer by 2,181,296.

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Prime Factor Structure

Factorization String 2^4 × 3 × 77899
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,659,600
Proper Divisor Sum 5,920,448
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3739139 ← → #3739163

Radix Representation

Decimal 3739152
Binary 1110010000111000010000 (22 bits)
Octal 0o16207020
Hexadecimal 0x390E10

Divisor Catalog (5 of 20)

1 2 3 4 6

Collatz Trajectory (234 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.

3,739,152 1,869,576 934,788 467,394 233,697

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