λ
Prime Ledger

2,735,556

22 × 3 × 311 × 733
Abundant Even Composite

2,735,556 has the prime decomposition 2^2 × 3 × 311 × 733. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 311 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,412,224
Proper Divisor Sum 3,676,668
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2735527 ← → #2735581

Radix Representation

Decimal 2735556
Binary 1010011011110111000100 (22 bits)
Octal 0o12336704
Hexadecimal 0x29BDC4

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (138 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.

2,735,556 1,367,778 683,889 2,051,668 1,025,834

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