λ
Match Zalai

6,524,672

28 × 7 × 11 × 331
Abundant Even Composite

6,524,672 factors as 2^8 × 7 × 11 × 331. Its 72 positive divisors give a proper-divisor sum of 9,761,920, so this integer is abundant. The Collatz stopping time is 90 steps.

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Prime Factor Structure

Factorization String 2^8 × 7 × 11 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 16,286,592
Proper Divisor Sum 9,761,920
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6524669 ← → #6524677

Radix Representation

Decimal 6524672
Binary 11000111000111100000000 (23 bits)
Octal 0o30707400
Hexadecimal 0x638F00

Divisor Catalog (5 of 72)

1 2 4 7 8

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.

6,524,672 3,262,336 1,631,168 815,584 407,792

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