λ
Match Zalai

7,609,780

22 × 5 × 23 × 71 × 233
Abundant Even Composite

7,609,780 factors as 2^2 × 5 × 23 × 71 × 233. Its 48 positive divisors give a proper-divisor sum of 9,373,004, so this integer is abundant. The Collatz stopping time is 248 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 71 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,982,784
Proper Divisor Sum 9,373,004
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7609769 ← → #7609781

Radix Representation

Decimal 7609780
Binary 11101000001110110110100 (23 bits)
Octal 0o35016664
Hexadecimal 0x741DB4

Divisor Catalog (5 of 48)

1 2 4 5 10

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.

7,609,780 3,804,890 1,902,445 5,707,336 2,853,668

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