λ
Harmonic Matrix

2,259,213

3 × 11 × 223 × 307
Deficient Odd Composite

2,259,213 has digital root 6. The neighboring primes are 2259211 and 2259217; its proper-divisor sum differs from the starting integer by -1,206,810.

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Prime Factor Structure

Factorization String 3 × 11 × 223 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,311,616
Proper Divisor Sum 1,052,403
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2259211 ← → #2259217

Radix Representation

Decimal 2259213
Binary 1000100111100100001101 (22 bits)
Octal 0o10474415
Hexadecimal 0x22790D

Divisor Catalog (5 of 16)

1 3 11 33 223

Collatz Trajectory (179 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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