λ
Integer Codex

2,743,140

22 × 3 × 5 × 131 × 349
Abundant Even Composite

For 2,743,140, the 48 positive divisors have a total of 7,761,600. Removing 2,743,140 leaves 5,018,460, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 131 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,761,600
Proper Divisor Sum 5,018,460
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2743133 ← → #2743177

Radix Representation

Decimal 2743140
Binary 1010011101101101100100 (22 bits)
Octal 0o12355544
Hexadecimal 0x29DB64

Divisor Catalog (5 of 48)

1 2 3 4 5

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.

2,743,140 1,371,570 685,785 2,057,356 1,028,678

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