880,263

3² × 47 × 2081

880,263 factors as 3^2 × 47 × 2081. Its 12 positive divisors give a proper-divisor sum of 418,905, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3^2 × 47 × 2081

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,299,168

Proper Divisor Sum 418,905

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #880259 ← → #880283

Radix Representation

Decimal	880263
Binary	11010110111010000111 (20 bits)
Octal	0o3267207
Hexadecimal	0xD6E87

Divisor Catalog (12)

1 3 9 47 141 423 2,081 6,243 18,729 97,807 293,421 880,263

Collatz Trajectory (95 steps to reach 1)

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

880,263 2,640,790 1,320,395 3,961,186 1,980,593 5,941,780 2,970,890 1,485,445 4,456,336 2,228,168 1,114,084 557,042 278,521 835,564 417,782 208,891 626,674 313,337 940,012 470,006 235,003 705,010 352,505 1,057,516 528,758 264,379 793,138 396,569 1,189,708 594,854 297,427 892,282 446,141 1,338,424 669,212 334,606 167,303 501,910 250,955 752,866 376,433 1,129,300 564,650 282,325 846,976 423,488 211,744 105,872 52,936 26,468 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584

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