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1,024,256

28 × 4001
Deficient Even Composite

Prime Factor Structure

Factorization String 2^8 × 4001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 2,045,022
Proper Divisor Sum 1,020,766
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1024249 ← → #1024277

Radix Representation

Decimal 1024256
Binary 11111010000100000000 (20 bits)
Octal 0o3720400
Hexadecimal 0xFA100

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 4,001 8,002 16,004 32,008 64,016 128,032 256,064 512,128 1,024,256

Collatz Trajectory (51 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,024,256 512,128 256,064 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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