λ
Match Zalai

6,758,496

25 × 32 × 31 × 757
Abundant Even Composite

6,758,496 factors as 2^5 × 3^2 × 31 × 757. Its 72 positive divisors give a proper-divisor sum of 13,107,168, so this integer is abundant. The Collatz stopping time is 178 steps.

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Prime Factor Structure

Factorization String 2^5 × 3^2 × 31 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 19,865,664
Proper Divisor Sum 13,107,168
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6758489 ← → #6758501

Radix Representation

Decimal 6758496
Binary 11001110010000001100000 (23 bits)
Octal 0o31620140
Hexadecimal 0x672060

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (178 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.

6,758,496 3,379,248 1,689,624 844,812 422,406

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