λ
Harmonic Matrix

5,223,128

23 × 31 × 21061
Deficient Even Composite

5,223,128 has digital root 5. The neighboring primes are 5223121 and 5223181; its proper-divisor sum differs from the starting integer by -336,496.

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Prime Factor Structure

Factorization String 2^3 × 31 × 21061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,109,760
Proper Divisor Sum 4,886,632
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5223121 ← → #5223181

Radix Representation

Decimal 5223128
Binary 10011111011001011011000 (23 bits)
Octal 0o23731330
Hexadecimal 0x4FB2D8

Divisor Catalog (5 of 16)

1 2 4 8 31

Collatz Trajectory (157 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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