λ
Integer Codex

3,182,004

22 × 34 × 7 × 23 × 61
Abundant Even Composite

For 3,182,004, the 120 positive divisors have a total of 10,082,688. Removing 3,182,004 leaves 6,900,684, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 23 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 10,082,688
Proper Divisor Sum 6,900,684
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3181999 ← → #3182021

Radix Representation

Decimal 3182004
Binary 1100001000110110110100 (22 bits)
Octal 0o14106664
Hexadecimal 0x308DB4

Divisor Catalog (5 of 120)

1 2 3 4 6

Collatz Trajectory (107 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.

3,182,004 1,591,002 795,501 2,386,504 1,193,252

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