λ
Harmonic Matrix

2,165,058

2 × 32 × 7 × 17183
Abundant Even Composite

2,165,058 has digital root 9. The neighboring primes are 2165057 and 2165063; its proper-divisor sum differs from the starting integer by 1,031,292.

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Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17183
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,361,408
Proper Divisor Sum 3,196,350
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2165057 ← → #2165063

Radix Representation

Decimal 2165058
Binary 1000010000100101000010 (22 bits)
Octal 0o10204502
Hexadecimal 0x210942

Divisor Catalog (5 of 24)

1 2 3 6 7

Collatz Trajectory (210 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.

2,165,058 1,082,529 3,247,588 1,623,794 811,897

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