λ
Matchaa Zalai

7,205,248

27 × 181 × 311
Abundant Even Composite

7,205,248 factors as 2^7 × 181 × 311. Its 32 positive divisors give a proper-divisor sum of 7,274,672, so this integer is abundant. The Collatz stopping time is 160 steps.

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Prime Factor Structure

Factorization String 2^7 × 181 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,479,920
Proper Divisor Sum 7,274,672
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7205243 ← → #7205249

Radix Representation

Decimal 7205248
Binary 11011011111000110000000 (23 bits)
Octal 0o33370600
Hexadecimal 0x6DF180

Divisor Catalog (5 of 32)

1 2 4 8 16

Collatz Trajectory (160 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.

7,205,248 3,602,624 1,801,312 900,656 450,328

More profiles

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