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Math Directory

2,710,256

24 × 233 × 727
Deficient Even Composite

2,710,256 factors as 2^4 × 233 × 727. Its 20 positive divisors give a proper-divisor sum of 2,570,656, so this integer is deficient. The Collatz stopping time is 112 steps.

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Prime Factor Structure

Factorization String 2^4 × 233 × 727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,280,912
Proper Divisor Sum 2,570,656
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2710249 ← → #2710273

Radix Representation

Decimal 2710256
Binary 1010010101101011110000 (22 bits)
Octal 0o12255360
Hexadecimal 0x295AF0

Divisor Catalog (5 of 20)

1 2 4 8 16

Collatz Trajectory (112 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.

2,710,256 1,355,128 677,564 338,782 169,391

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