λ
Math Directory

6,602,336

25 × 13 × 59 × 269
Abundant Even Composite

6,602,336 factors as 2^5 × 13 × 59 × 269. Its 48 positive divisors give a proper-divisor sum of 7,686,064, so this integer is abundant. The Collatz stopping time is 85 steps.

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Prime Factor Structure

Factorization String 2^5 × 13 × 59 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,288,400
Proper Divisor Sum 7,686,064
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6602327 ← → #6602347

Radix Representation

Decimal 6602336
Binary 11001001011111001100000 (23 bits)
Octal 0o31137140
Hexadecimal 0x64BE60

Divisor Catalog (5 of 48)

1 2 4 8 13

Collatz Trajectory (85 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.

6,602,336 3,301,168 1,650,584 825,292 412,646

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