λ
Match Zalai

4,768,794

2 × 34 × 29437
Abundant Even Composite

4,768,794 factors as 2 × 3^4 × 29437. Its 20 positive divisors give a proper-divisor sum of 5,917,200, so this integer is abundant. The Collatz stopping time is 162 steps.

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Prime Factor Structure

Factorization String 2 × 3^4 × 29437
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,685,994
Proper Divisor Sum 5,917,200
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4768783 ← → #4768801

Radix Representation

Decimal 4768794
Binary 10010001100010000011010 (23 bits)
Octal 0o22142032
Hexadecimal 0x48C41A

Divisor Catalog (5 of 20)

1 2 3 6 9

Collatz Trajectory (162 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.

4,768,794 2,384,397 7,153,192 3,576,596 1,788,298

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