λ
Ratio Atlas

72,352

25 × 7 × 17 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 17 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 181,440
Proper Divisor Sum 109,088
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #72341 ← → #72353

Radix Representation

Decimal 72352
Binary 10001101010100000 (17 bits)
Octal 0o215240
Hexadecimal 0x11AA0

Divisor Catalog (48)

Collatz Trajectory (24 steps to reach 1)

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

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