882,256

2⁴ × 67 × 823

882,256 has the prime decomposition 2^4 × 67 × 823. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 67 × 823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,736,992

Proper Divisor Sum 854,736

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #882253 ← → #882263

Radix Representation

Decimal	882256
Binary	11010111011001010000 (20 bits)
Octal	0o3273120
Hexadecimal	0xD7650

Divisor Catalog (20)

1 2 4 8 16 67 134 268 536 823 1,072 1,646 3,292 6,584 13,168 55,141 110,282 220,564 441,128 882,256

Collatz Trajectory (64 steps to reach 1)

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

882,256 441,128 220,564 110,282 55,141 165,424 82,712 41,356 20,678 10,339 31,018 15,509 46,528 23,264 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

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