λ
Match Zalai

8,251,239

3 × 172 × 31 × 307
Deficient Odd Composite

8,251,239 factors as 3 × 17^2 × 31 × 307. Its 24 positive divisors give a proper-divisor sum of 3,851,929, so this integer is deficient. The Collatz stopping time is 212 steps.

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Prime Factor Structure

Factorization String 3 × 17^2 × 31 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,103,168
Proper Divisor Sum 3,851,929
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8251219 ← → #8251249

Radix Representation

Decimal 8251239
Binary 11111011110011101100111 (23 bits)
Octal 0o37363547
Hexadecimal 0x7DE767

Divisor Catalog (5 of 24)

1 3 17 31 51

Collatz Trajectory (212 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.

8,251,239 24,753,718 12,376,859 37,130,578 18,565,289

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