λ
Ratio Atlas

47,704,624

24 × 11 × 47 × 73 × 79
Abundant Even Composite

47,704,624 factors as 2^4 × 11 × 47 × 73 × 79. Its 80 positive divisors give a proper-divisor sum of 58,002,896, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 47 × 73 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 105,707,520
Proper Divisor Sum 58,002,896
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #47704621 ← → #47704637

Radix Representation

Decimal 47704624
Binary 10110101111110101000110000 (26 bits)
Octal 0o265765060
Hexadecimal 0x2D7EA30

Divisor Catalog (60 of 80)

Collatz Trajectory (124 steps to reach 1)

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

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