λ
Integer Codex

3,630,132

22 × 32 × 11 × 89 × 103
Abundant Even Composite

For 3,630,132, the 72 positive divisors have a total of 10,221,120. Removing 3,630,132 leaves 6,590,988, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 89 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 10,221,120
Proper Divisor Sum 6,590,988
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3630101 ← → #3630149

Radix Representation

Decimal 3630132
Binary 1101110110010000110100 (22 bits)
Octal 0o15662064
Hexadecimal 0x376434

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (172 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.

3,630,132 1,815,066 907,533 2,722,600 1,361,300

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