λ
Ratio Atlas

8,201,992

23 × 43 × 113 × 211
Deficient Even Composite

8,201,992 factors as 2^3 × 43 × 113 × 211. Its 32 positive divisors give a proper-divisor sum of 7,748,888, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 43 × 113 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,950,880
Proper Divisor Sum 7,748,888
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8201989 ← → #8202013

Radix Representation

Decimal 8201992
Binary 11111010010011100001000 (23 bits)
Octal 0o37223410
Hexadecimal 0x7D2708

Divisor Catalog (32)

Collatz Trajectory (106 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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