λ
Harmonic Matrix

3,631,656

23 × 3 × 7 × 21617
Abundant Even Composite

3,631,656 has digital root 3. The neighboring primes are 3631637 and 3631703; its proper-divisor sum differs from the starting integer by 3,113,328.

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Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 21617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,376,640
Proper Divisor Sum 6,744,984
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3631637 ← → #3631703

Radix Representation

Decimal 3631656
Binary 1101110110101000101000 (22 bits)
Octal 0o15665050
Hexadecimal 0x376A28

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (71 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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