λ
Prime Ledger

7,364,000

25 × 53 × 7 × 263
Abundant Even Composite

7,364,000 has the prime decomposition 2^5 × 5^3 × 7 × 263. Its 4 distinct prime factors produce 96 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 5^3 × 7 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 20,756,736
Proper Divisor Sum 13,392,736
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7363997 ← → #7364003

Radix Representation

Decimal 7364000
Binary 11100000101110110100000 (23 bits)
Octal 0o34056640
Hexadecimal 0x705DA0

Divisor Catalog (5 of 96)

1 2 4 5 7

Collatz Trajectory (266 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.

7,364,000 3,682,000 1,841,000 920,500 460,250

More profiles

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