λ
Prime Ledger

7,403,616

25 × 33 × 11 × 19 × 41
Abundant Even Composite

7,403,616 has the prime decomposition 2^5 × 3^3 × 11 × 19 × 41. Its 5 distinct prime factors produce 192 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 3^3 × 11 × 19 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 192
Divisor Sum (σ) 25,401,600
Proper Divisor Sum 17,997,984
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7403593 ← → #7403629

Radix Representation

Decimal 7403616
Binary 11100001111100001100000 (23 bits)
Octal 0o34174140
Hexadecimal 0x70F860

Divisor Catalog (5 of 192)

1 2 3 4 6

Collatz Trajectory (191 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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