λ
Ratio Atlas

3,702,160

24 × 5 × 7 × 11 × 601
Abundant Even Composite

3,702,160 factors as 2^4 × 5 × 7 × 11 × 601. Its 80 positive divisors give a proper-divisor sum of 7,047,152, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 10,749,312
Proper Divisor Sum 7,047,152
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3702119 ← → #3702161

Radix Representation

Decimal 3702160
Binary 1110000111110110010000 (22 bits)
Octal 0o16076620
Hexadecimal 0x387D90

Divisor Catalog (60 of 80)

Collatz Trajectory (128 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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