λ
Harmonic Matrix

3,189,501

32 × 7 × 50627
Deficient Odd Composite

3,189,501 has digital root 9. The neighboring primes are 3189499 and 3189503; its proper-divisor sum differs from the starting integer by -1,113,690.

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Prime Factor Structure

Factorization String 3^2 × 7 × 50627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,265,312
Proper Divisor Sum 2,075,811
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3189499 ← → #3189503

Radix Representation

Decimal 3189501
Binary 1100001010101011111101 (22 bits)
Octal 0o14125375
Hexadecimal 0x30AAFD

Divisor Catalog (5 of 12)

1 3 7 9 21

Collatz Trajectory (257 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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