λ
Harmonic Matrix

100,091

101 × 991
Deficient Odd Composite

100,091 has digital root 2. The neighboring primes are 100069 and 100103; its proper-divisor sum differs from the starting integer by -98,998.

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Prime Factor Structure

Factorization String 101 × 991
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 101,184
Proper Divisor Sum 1,093
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #100069 ← → #100103

Radix Representation

Decimal 100091
Binary 11000011011111011 (17 bits)
Octal 0o303373
Hexadecimal 0x186FB

Divisor Catalog (4)

Collatz Trajectory (234 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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