λ
Zalai Atlas

7,201,752

23 × 3 × 300073
Abundant Even Composite

7,201,752 has the prime decomposition 2^3 × 3 × 300073. Its 3 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3 × 300073
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,004,440
Proper Divisor Sum 10,802,688
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7201751 ← → #7201759

Radix Representation

Decimal 7201752
Binary 11011011110001111011000 (23 bits)
Octal 0o33361730
Hexadecimal 0x6DE3D8

Divisor Catalog (5 of 16)

1 2 3 4 6

Collatz Trajectory (90 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.

7,201,752 3,600,876 1,800,438 900,219 2,700,658

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