λ
Ratio Atlas

7,614,464

212 × 11 × 132
Abundant Even Composite

7,614,464 factors as 2^12 × 11 × 13^2. Its 78 positive divisors give a proper-divisor sum of 10,372,972, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^12 × 11 × 13^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 78
Divisor Sum (σ) 17,987,436
Proper Divisor Sum 10,372,972
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7614463 ← → #7614469

Radix Representation

Decimal 7614464
Binary 11101000011000000000000 (23 bits)
Octal 0o35030000
Hexadecimal 0x743000

Divisor Catalog (60 of 78)

Collatz Trajectory (142 steps to reach 1)

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

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