λ
Matchaa Zalai

8,161,029

32 × 31 × 29251
Deficient Odd Composite

8,161,029 factors as 3^2 × 31 × 29251. Its 12 positive divisors give a proper-divisor sum of 4,007,803, so this integer is deficient. The Collatz stopping time is 111 steps.

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Prime Factor Structure

Factorization String 3^2 × 31 × 29251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,168,832
Proper Divisor Sum 4,007,803
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8161001 ← → #8161031

Radix Representation

Decimal 8161029
Binary 11111001000011100000101 (23 bits)
Octal 0o37103405
Hexadecimal 0x7C8705

Divisor Catalog (5 of 12)

1 3 9 31 93

Collatz Trajectory (111 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.

8,161,029 24,483,088 12,241,544 6,120,772 3,060,386

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