λ
Matchaa Zalai

4,429,810

2 × 5 × 7 × 112 × 523
Abundant Even Composite

4,429,810 factors as 2 × 5 × 7 × 11^2 × 523. Its 48 positive divisors give a proper-divisor sum of 5,605,838, so this integer is abundant. The Collatz stopping time is 167 steps.

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Prime Factor Structure

Factorization String 2 × 5 × 7 × 11^2 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,035,648
Proper Divisor Sum 5,605,838
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4429801 ← → #4429811

Radix Representation

Decimal 4429810
Binary 10000111001011111110010 (23 bits)
Octal 0o20713762
Hexadecimal 0x4397F2

Divisor Catalog (5 of 48)

1 2 5 7 10

Collatz Trajectory (167 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.

4,429,810 2,214,905 6,644,716 3,322,358 1,661,179

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