λ
Match Zalai

6,960,928

25 × 13 × 29 × 577
Abundant Even Composite

6,960,928 factors as 2^5 × 13 × 29 × 577. Its 48 positive divisors give a proper-divisor sum of 8,332,952, so this integer is abundant. The Collatz stopping time is 191 steps.

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Prime Factor Structure

Factorization String 2^5 × 13 × 29 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,293,880
Proper Divisor Sum 8,332,952
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6960923 ← → #6960929

Radix Representation

Decimal 6960928
Binary 11010100011011100100000 (23 bits)
Octal 0o32433440
Hexadecimal 0x6A3720

Divisor Catalog (5 of 48)

1 2 4 8 13

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.

6,960,928 3,480,464 1,740,232 870,116 435,058

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