λ
Match Zalai

8,112,141

32 × 29 × 31081
Deficient Odd Composite

8,112,141 factors as 3^2 × 29 × 31081. Its 12 positive divisors give a proper-divisor sum of 4,009,839, so this integer is deficient. The Collatz stopping time is 292 steps.

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Prime Factor Structure

Factorization String 3^2 × 29 × 31081
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,121,980
Proper Divisor Sum 4,009,839
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #8112133 ← → #8112151

Radix Representation

Decimal 8112141
Binary 11110111100100000001101 (23 bits)
Octal 0o36744015
Hexadecimal 0x7BC80D

Divisor Catalog (5 of 12)

1 3 9 29 87

Collatz Trajectory (292 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.

8,112,141 24,336,424 12,168,212 6,084,106 3,042,053

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