λ
Ratio Atlas

77,573,860

22 × 5 × 72 × 13 × 6089
Abundant Even Composite

77,573,860 factors as 2^2 × 5 × 7^2 × 13 × 6089. Its 72 positive divisors give a proper-divisor sum of 126,538,580, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 13 × 6089
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 204,112,440
Proper Divisor Sum 126,538,580
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #77573833 ← → #77573861

Radix Representation

Decimal 77573860
Binary 100100111111010111011100100 (27 bits)
Octal 0o447727344
Hexadecimal 0x49FAEE4

Divisor Catalog (60 of 72)

Collatz Trajectory (122 steps to reach 1)

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

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