λ
Prime Ledger

7,637,934

2 × 3 × 1272989
Abundant Even Composite

7,637,934 has the prime decomposition 2 × 3 × 1272989. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 1272989
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,275,880
Proper Divisor Sum 7,637,946
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7637857 ← → #7637941

Radix Representation

Decimal 7637934
Binary 11101001000101110101110 (23 bits)
Octal 0o35105656
Hexadecimal 0x748BAE

Divisor Catalog (5 of 8)

1 2 3 6 1,272,989

Collatz Trajectory (124 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.

7,637,934 3,818,967 11,456,902 5,728,451 17,185,354

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