λ
Prime Ledger

7,642,110

2 × 3 × 5 × 7 × 151 × 241
Abundant Even Composite

7,642,110 has the prime decomposition 2 × 3 × 5 × 7 × 151 × 241. Its 6 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 151 × 241
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,187,584
Proper Divisor Sum 13,545,474
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7642069 ← → #7642111

Radix Representation

Decimal 7642110
Binary 11101001001101111111110 (23 bits)
Octal 0o35115776
Hexadecimal 0x749BFE

Divisor Catalog (5 of 64)

1 2 3 5 6

Collatz Trajectory (261 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.

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