λ
Match Zalai

8,004,002

2 × 4002001
Deficient Even Composite

8,004,002 factors as 2 × 4002001. Its 4 positive divisors give a proper-divisor sum of 4,002,004, so this integer is deficient. The Collatz stopping time is 93 steps.

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Prime Factor Structure

Factorization String 2 × 4002001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,006,006
Proper Divisor Sum 4,002,004
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #8003987 ← → #8004011

Radix Representation

Decimal 8004002
Binary 11110100010000110100010 (23 bits)
Octal 0o36420642
Hexadecimal 0x7A21A2

Divisor Catalog (4)

1 2 4,002,001 8,004,002

Collatz Trajectory (93 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.

8,004,002 4,002,001 12,006,004 6,003,002 3,001,501

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