λ
Modular Archive

65,772

22 × 34 × 7 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 203,280
Proper Divisor Sum 137,508
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #65761 ← → #65777

Radix Representation

Decimal 65772
Binary 10000000011101100 (17 bits)
Octal 0o200354
Hexadecimal 0x100EC

Divisor Catalog (60)

Collatz Trajectory (192 steps to reach 1)

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

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