λ
Match Zalai

4,474,932

22 × 3 × 7 × 11 × 29 × 167
Abundant Even Composite

4,474,932 factors as 2^2 × 3 × 7 × 11 × 29 × 167. Its 96 positive divisors give a proper-divisor sum of 9,072,588, so this integer is abundant. The Collatz stopping time is 61 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 29 × 167
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 13,547,520
Proper Divisor Sum 9,072,588
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4474931 ← → #4474933

Radix Representation

Decimal 4474932
Binary 10001000100100000110100 (23 bits)
Octal 0o21044064
Hexadecimal 0x444834

Divisor Catalog (5 of 96)

1 2 3 4 6

Collatz Trajectory (61 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.

4,474,932 2,237,466 1,118,733 3,356,200 1,678,100

More profiles

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