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Math Directory

136,161

34 × 412
Deficient Odd Composite Square (√ = 369)

136,161 factors as 3^4 × 41^2. Its 15 positive divisors give a proper-divisor sum of 72,322, so this integer is deficient. The Collatz stopping time is 118 steps.

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Prime Factor Structure

Factorization String 3^4 × 41^2
Distinct Prime Factors 2
Square Status Yes (√136161 = 369)
Abundance Measure Deficient

Analytical Properties

Total Divisors 15
Divisor Sum (σ) 208,483
Proper Divisor Sum 72,322
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #136139 ← → #136163

Radix Representation

Decimal 136161
Binary 100001001111100001 (18 bits)
Octal 0o411741
Hexadecimal 0x213E1

Divisor Catalog (5 of 15)

1 3 9 27 41

Collatz Trajectory (118 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.

136,161 408,484 204,242 102,121 306,364

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