λ
Matchaa Zalai

3,689,920

26 × 5 × 13 × 887
Abundant Even Composite

3,689,920 factors as 2^6 × 5 × 13 × 887. Its 56 positive divisors give a proper-divisor sum of 5,783,264, so this integer is abundant. The Collatz stopping time is 84 steps.

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Prime Factor Structure

Factorization String 2^6 × 5 × 13 × 887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 9,473,184
Proper Divisor Sum 5,783,264
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3689911 ← → #3689927

Radix Representation

Decimal 3689920
Binary 1110000100110111000000 (22 bits)
Octal 0o16046700
Hexadecimal 0x384DC0

Divisor Catalog (5 of 56)

1 2 4 5 8

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.

3,689,920 1,844,960 922,480 461,240 230,620

More profiles

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