λ
Sigma Notebook

402,132

22 × 3 × 23 × 31 × 47
Abundant Even Composite

402,132 is even and not a perfect square. Its factorization is 2^2 × 3 × 23 × 31 × 47 and its 48 divisors sum to 1,032,192.

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Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 31 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,032,192
Proper Divisor Sum 630,060
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #402131 ← → #402133

Radix Representation

Decimal 402132
Binary 1100010001011010100 (19 bits)
Octal 0o1421324
Hexadecimal 0x622D4

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (161 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.

402,132 201,066 100,533 301,600 150,800

More profiles

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