λ
Harmonic Matrix

4,184,456

23 × 53 × 71 × 139
Deficient Even Composite

4,184,456 has digital root 5. The neighboring primes are 4184443 and 4184507; its proper-divisor sum differs from the starting integer by -204,112.

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Prime Factor Structure

Factorization String 2^3 × 53 × 71 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,164,800
Proper Divisor Sum 3,980,344
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4184443 ← → #4184507

Radix Representation

Decimal 4184456
Binary 1111111101100110001000 (22 bits)
Octal 0o17754610
Hexadecimal 0x3FD988

Divisor Catalog (5 of 32)

1 2 4 8 53

Collatz Trajectory (198 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.

4,184,456 2,092,228 1,046,114 523,057 1,569,172

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