λ
Zalai Atlas

7,198,144

26 × 47 × 2393
Abundant Even Composite

7,198,144 has the prime decomposition 2^6 × 47 × 2393. Its 3 distinct prime factors produce 28 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 47 × 2393
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 14,593,824
Proper Divisor Sum 7,395,680
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7198141 ← → #7198151

Radix Representation

Decimal 7198144
Binary 11011011101010111000000 (23 bits)
Octal 0o33352700
Hexadecimal 0x6DD5C0

Divisor Catalog (5 of 28)

1 2 4 8 16

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.

7,198,144 3,599,072 1,799,536 899,768 449,884

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