λ
Prime Ledger

7,768,006

2 × 383 × 10141
Deficient Even Composite

7,768,006 has the prime decomposition 2 × 383 × 10141. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 2 × 383 × 10141
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,683,584
Proper Divisor Sum 3,915,578
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7768001 ← → #7768049

Radix Representation

Decimal 7768006
Binary 11101101000011111000110 (23 bits)
Octal 0o35503706
Hexadecimal 0x7687C6

Divisor Catalog (5 of 8)

1 2 383 766 10,141

Collatz Trajectory (186 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.

7,768,006 3,884,003 11,652,010 5,826,005 17,478,016

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