λ
Prime Ledger

7,763,728

24 × 7 × 103 × 673
Abundant Even Composite

7,763,728 has the prime decomposition 2^4 × 7 × 103 × 673. Its 4 distinct prime factors produce 40 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 7 × 103 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,383,808
Proper Divisor Sum 9,620,080
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7763689 ← → #7763729

Radix Representation

Decimal 7763728
Binary 11101100111011100010000 (23 bits)
Octal 0o35473420
Hexadecimal 0x767710

Divisor Catalog (5 of 40)

1 2 4 7 8

Collatz Trajectory (93 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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