λ
Prime Ledger

462,450

2 × 3 × 52 × 3083
Abundant Even Composite

462,450 has the prime decomposition 2 × 3 × 5^2 × 3083. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 3083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,147,248
Proper Divisor Sum 684,798
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #462443 ← → #462467

Radix Representation

Decimal 462450
Binary 1110000111001110010 (19 bits)
Octal 0o1607162
Hexadecimal 0x70E72

Divisor Catalog (5 of 24)

1 2 3 5 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.

462,450 231,225 693,676 346,838 173,419

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