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Math Directory

2,603,256

23 × 3 × 31 × 3499
Abundant Even Composite

2,603,256 factors as 2^3 × 3 × 31 × 3499. Its 32 positive divisors give a proper-divisor sum of 4,116,744, so this integer is abundant. The Collatz stopping time is 187 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 3499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,720,000
Proper Divisor Sum 4,116,744
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2603239 ← → #2603269

Radix Representation

Decimal 2603256
Binary 1001111011100011111000 (22 bits)
Octal 0o11734370
Hexadecimal 0x27B8F8

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (187 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.

2,603,256 1,301,628 650,814 325,407 976,222

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