λ
Harmonic Matrix

113,785

5 × 7 × 3251
Deficient Odd Composite

113,785 has digital root 7. The neighboring primes are 113783 and 113797; its proper-divisor sum differs from the starting integer by -71,474.

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Prime Factor Structure

Factorization String 5 × 7 × 3251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 156,096
Proper Divisor Sum 42,311
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #113783 ← → #113797

Radix Representation

Decimal 113785
Binary 11011110001111001 (17 bits)
Octal 0o336171
Hexadecimal 0x1BC79

Divisor Catalog (5 of 8)

Collatz Trajectory (229 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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