λ
Integer Codex

3,027,584

27 × 7 × 31 × 109
Abundant Even Composite

For 3,027,584, the 64 positive divisors have a total of 7,180,800. Removing 3,027,584 leaves 4,153,216, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^7 × 7 × 31 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,180,800
Proper Divisor Sum 4,153,216
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3027539 ← → #3027617

Radix Representation

Decimal 3027584
Binary 1011100011001010000000 (22 bits)
Octal 0o13431200
Hexadecimal 0x2E3280

Divisor Catalog (5 of 64)

1 2 4 7 8

Collatz Trajectory (89 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.

3,027,584 1,513,792 756,896 378,448 189,224

More profiles

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