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Math Directory

2,131,376

24 × 13 × 10247
Abundant Even Composite

2,131,376 factors as 2^4 × 13 × 10247. Its 20 positive divisors give a proper-divisor sum of 2,316,256, so this integer is abundant. The Collatz stopping time is 104 steps.

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Prime Factor Structure

Factorization String 2^4 × 13 × 10247
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,447,632
Proper Divisor Sum 2,316,256
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2131373 ← → #2131399

Radix Representation

Decimal 2131376
Binary 1000001000010110110000 (22 bits)
Octal 0o10102660
Hexadecimal 0x2085B0

Divisor Catalog (5 of 20)

1 2 4 8 13

Collatz Trajectory (104 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.

2,131,376 1,065,688 532,844 266,422 133,211

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