λ
Prime Ledger

137,686

2 × 43 × 1601
Deficient Even Composite

137,686 has the prime decomposition 2 × 43 × 1601. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 2 × 43 × 1601
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 211,464
Proper Divisor Sum 73,778
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #137659 ← → #137699

Radix Representation

Decimal 137686
Binary 100001100111010110 (18 bits)
Octal 0o414726
Hexadecimal 0x219D6

Divisor Catalog (5 of 8)

Collatz Trajectory (206 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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