λ
Harmonic Matrix

226,113

3 × 23 × 29 × 113
Deficient Odd Composite

226,113 has digital root 6. The neighboring primes are 226103 and 226123; its proper-divisor sum differs from the starting integer by -123,906.

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Prime Factor Structure

Factorization String 3 × 23 × 29 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 328,320
Proper Divisor Sum 102,207
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #226103 ← → #226123

Radix Representation

Decimal 226113
Binary 110111001101000001 (18 bits)
Octal 0o671501
Hexadecimal 0x37341

Divisor Catalog (5 of 16)

1 3 23 29 69

Collatz Trajectory (106 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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