λ
Match Zalai

4,612,476

22 × 3 × 11 × 83 × 421
Abundant Even Composite

4,612,476 factors as 2^2 × 3 × 11 × 83 × 421. Its 48 positive divisors give a proper-divisor sum of 7,298,052, so this integer is abundant. The Collatz stopping time is 193 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 83 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,910,528
Proper Divisor Sum 7,298,052
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4612451 ← → #4612477

Radix Representation

Decimal 4612476
Binary 10001100110000101111100 (23 bits)
Octal 0o21460574
Hexadecimal 0x46617C

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (193 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.

4,612,476 2,306,238 1,153,119 3,459,358 1,729,679

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