λ
Ratio Atlas

74,520

23 × 34 × 5 × 23
Abundant Even Composite

74,520 factors as 2^3 × 3^4 × 5 × 23. Its 80 positive divisors give a proper-divisor sum of 186,840, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 261,360
Proper Divisor Sum 186,840
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #74509 ← → #74521

Radix Representation

Decimal 74520
Binary 10010001100011000 (17 bits)
Octal 0o221430
Hexadecimal 0x12318

Divisor Catalog (60 of 80)

Collatz Trajectory (156 steps to reach 1)

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

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