888,552

2³ × 3² × 7 × 41 × 43

888,552 factors as 2^3 × 3^2 × 7 × 41 × 43. Its 96 positive divisors give a proper-divisor sum of 1,994,328, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 41 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,882,880

Proper Divisor Sum 1,994,328

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #888541 ← → #888557

Radix Representation

Decimal	888552
Binary	11011000111011101000 (20 bits)
Octal	0o3307350
Hexadecimal	0xD8EE8

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 43 56 63 72 82 84 86 123 126 129 164 168 172 246 252 258 287 301 328 344 369 387 492 504 516 574 602 738 774 861 903 984 1,032 1,148 1,204 1,476 1,548 1,722 1,763 1,806 2,296 2,408 2,583

Collatz Trajectory (157 steps to reach 1)

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

888,552 444,276 222,138 111,069 333,208 166,604 83,302 41,651 124,954 62,477 187,432 93,716 46,858 23,429 70,288 35,144 17,572 8,786 4,393 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161

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