λ
Match Zalai

7,465,344

27 × 3 × 19441
Abundant Even Composite

7,465,344 factors as 2^7 × 3 × 19441. Its 32 positive divisors give a proper-divisor sum of 12,365,496, so this integer is abundant. The Collatz stopping time is 248 steps.

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Prime Factor Structure

Factorization String 2^7 × 3 × 19441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,830,840
Proper Divisor Sum 12,365,496
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7465343 ← → #7465357

Radix Representation

Decimal 7465344
Binary 11100011110100110000000 (23 bits)
Octal 0o34364600
Hexadecimal 0x71E980

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (248 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.

7,465,344 3,732,672 1,866,336 933,168 466,584

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