λ
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888,680

23 × 5 × 13 × 1709
Abundant Even Composite

888,680 factors as 2^3 × 5 × 13 × 1709. Its 32 positive divisors give a proper-divisor sum of 1,265,920, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 1709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,154,600
Proper Divisor Sum 1,265,920
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #888661 ← → #888683

Radix Representation

Decimal 888680
Binary 11011000111101101000 (20 bits)
Octal 0o3307550
Hexadecimal 0xD8F68

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1,709 3,418 6,836 8,545 13,672 17,090 22,217 34,180 44,434 68,360 88,868 111,085 177,736 222,170 444,340 888,680

Collatz Trajectory (157 steps to reach 1)

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

888,680 444,340 222,170 111,085 333,256 166,628 83,314 41,657 124,972 62,486 31,243 93,730 46,865 140,596 70,298 35,149 105,448 52,724 26,362 13,181 39,544 19,772 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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