λ
Matchaa Zalai

3,708,222

2 × 3 × 72 × 12613
Abundant Even Composite

3,708,222 factors as 2 × 3 × 7^2 × 12613. Its 24 positive divisors give a proper-divisor sum of 4,919,754, so this integer is abundant. The Collatz stopping time is 84 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 12613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,627,976
Proper Divisor Sum 4,919,754
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3708203 ← → #3708223

Radix Representation

Decimal 3708222
Binary 1110001001010100111110 (22 bits)
Octal 0o16112476
Hexadecimal 0x38953E

Divisor Catalog (5 of 24)

1 2 3 6 7

Collatz Trajectory (84 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.

3,708,222 1,854,111 5,562,334 2,781,167 8,343,502

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