λ
Prime Ledger

137,152

26 × 2143
Deficient Even Composite

137,152 has the prime decomposition 2^6 × 2143. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 2143
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 272,288
Proper Divisor Sum 135,136
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #137147 ← → #137153

Radix Representation

Decimal 137152
Binary 100001011111000000 (18 bits)
Octal 0o413700
Hexadecimal 0x217C0

Divisor Catalog (14)

Collatz Trajectory (175 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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