λ
Zalai Atlas

8,217,992

23 × 23 × 59 × 757
Deficient Even Composite

8,217,992 has the prime decomposition 2^3 × 23 × 59 × 757. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 23 × 59 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,372,800
Proper Divisor Sum 8,154,808
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8217983 ← → #8218009

Radix Representation

Decimal 8217992
Binary 11111010110010110001000 (23 bits)
Octal 0o37262610
Hexadecimal 0x7D6588

Divisor Catalog (5 of 32)

1 2 4 8 23

Collatz Trajectory (106 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.

8,217,992 4,108,996 2,054,498 1,027,249 3,081,748

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