λ
Harmonic Matrix

5,625,539

19 × 31 × 9551
Deficient Odd Composite

5,625,539 has digital root 8. The neighboring primes are 5625509 and 5625553; its proper-divisor sum differs from the starting integer by -5,137,798.

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Prime Factor Structure

Factorization String 19 × 31 × 9551
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,113,280
Proper Divisor Sum 487,741
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5625509 ← → #5625553

Radix Representation

Decimal 5625539
Binary 10101011101011011000011 (23 bits)
Octal 0o25353303
Hexadecimal 0x55D6C3

Divisor Catalog (5 of 8)

1 19 31 589 9,551

Collatz Trajectory (338 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.

5,625,539 16,876,618 8,438,309 25,314,928 12,657,464

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