λ
Harmonic Matrix

6,738,752

26 × 71 × 1483
Abundant Even Composite

6,738,752 has digital root 2. The neighboring primes are 6738751 and 6738757; its proper-divisor sum differs from the starting integer by 92,192.

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Prime Factor Structure

Factorization String 2^6 × 71 × 1483
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 13,569,696
Proper Divisor Sum 6,830,944
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6738751 ← → #6738757

Radix Representation

Decimal 6738752
Binary 11001101101001101000000 (23 bits)
Octal 0o31551500
Hexadecimal 0x66D340

Divisor Catalog (5 of 28)

1 2 4 8 16

Collatz Trajectory (209 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.

6,738,752 3,369,376 1,684,688 842,344 421,172

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