λ
Prime Ledger

7,217,376

25 × 3 × 75181
Abundant Even Composite

7,217,376 has the prime decomposition 2^5 × 3 × 75181. Its 3 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 3 × 75181
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,945,864
Proper Divisor Sum 11,728,488
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7217369 ← → #7217407

Radix Representation

Decimal 7217376
Binary 11011100010000011100000 (23 bits)
Octal 0o33420340
Hexadecimal 0x6E20E0

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (67 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.

7,217,376 3,608,688 1,804,344 902,172 451,086

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