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Math Directory

8,372,126

2 × 7 × 17 × 29 × 1213
Deficient Even Composite

8,372,126 factors as 2 × 7 × 17 × 29 × 1213. Its 32 positive divisors give a proper-divisor sum of 7,361,314, so this integer is deficient. The Collatz stopping time is 199 steps.

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Prime Factor Structure

Factorization String 2 × 7 × 17 × 29 × 1213
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,733,440
Proper Divisor Sum 7,361,314
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8372083 ← → #8372137

Radix Representation

Decimal 8372126
Binary 11111111011111110011110 (23 bits)
Octal 0o37737636
Hexadecimal 0x7FBF9E

Divisor Catalog (5 of 32)

1 2 7 14 17

Collatz Trajectory (199 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.

8,372,126 4,186,063 12,558,190 6,279,095 18,837,286

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