λ
Ratio Atlas

7,720,544

25 × 13 × 67 × 277
Abundant Even Composite

7,720,544 factors as 2^5 × 13 × 67 × 277. Its 48 positive divisors give a proper-divisor sum of 8,952,784, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 67 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,673,328
Proper Divisor Sum 8,952,784
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7720529 ← → #7720561

Radix Representation

Decimal 7720544
Binary 11101011100111001100000 (23 bits)
Octal 0o35347140
Hexadecimal 0x75CE60

Divisor Catalog (48)

Collatz Trajectory (111 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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