λ
Prime Ledger

8,004,638

2 × 292 × 4759
Deficient Even Composite

8,004,638 has the prime decomposition 2 × 29^2 × 4759. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 2 × 29^2 × 4759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,437,880
Proper Divisor Sum 4,433,242
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8004631 ← → #8004649

Radix Representation

Decimal 8004638
Binary 11110100010010000011110 (23 bits)
Octal 0o36422036
Hexadecimal 0x7A241E

Divisor Catalog (5 of 12)

1 2 29 58 841

Collatz Trajectory (98 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.

8,004,638 4,002,319 12,006,958 6,003,479 18,010,438

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