λ
Integer Codex

2,216,052

22 × 33 × 172 × 71
Abundant Even Composite

For 2,216,052, the 72 positive divisors have a total of 6,189,120. Removing 2,216,052 leaves 3,973,068, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^3 × 17^2 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 6,189,120
Proper Divisor Sum 3,973,068
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2216047 ← → #2216057

Radix Representation

Decimal 2216052
Binary 1000011101000001110100 (22 bits)
Octal 0o10350164
Hexadecimal 0x21D074

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (117 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

2,216,052 1,108,026 554,013 1,662,040 831,020

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