λ
Integer Codex

2,772

22 × 32 × 7 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 11
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,736
Proper Divisor Sum 5,964
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2767 ← → #2777

Radix Representation

Decimal 2772
Binary 101011010100 (12 bits)
Octal 0o5324
Hexadecimal 0xAD4

Divisor Catalog (36)

Collatz Trajectory (35 steps to reach 1)

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

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