λ
Ratio Atlas

73,320

23 × 3 × 5 × 13 × 47
Abundant Even Composite

73,320 factors as 2^3 × 3 × 5 × 13 × 47. Its 64 positive divisors give a proper-divisor sum of 168,600, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 241,920
Proper Divisor Sum 168,600
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #73309 ← → #73327

Radix Representation

Decimal 73320
Binary 10001111001101000 (17 bits)
Octal 0o217150
Hexadecimal 0x11E68

Divisor Catalog (60 of 64)

Collatz Trajectory (156 steps to reach 1)

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

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