λ
Modular Archive

79,772

22 × 72 × 11 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 181,944
Proper Divisor Sum 102,172
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #79769 ← → #79777

Radix Representation

Decimal 79772
Binary 10011011110011100 (17 bits)
Octal 0o233634
Hexadecimal 0x1379C

Divisor Catalog (36)

Collatz Trajectory (76 steps to reach 1)

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

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