λ
Prime Ledger

7,642,687

132 × 41 × 1103
Deficient Odd Composite

7,642,687 has the prime decomposition 13^2 × 41 × 1103. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 13^2 × 41 × 1103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,485,344
Proper Divisor Sum 842,657
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7642681 ← → #7642711

Radix Representation

Decimal 7642687
Binary 11101001001111000111111 (23 bits)
Octal 0o35117077
Hexadecimal 0x749E3F

Divisor Catalog (5 of 12)

1 13 41 169 533

Collatz Trajectory (129 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.

7,642,687 22,928,062 11,464,031 34,392,094 17,196,047

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