λ
Ratio Atlas

9,987,882

2 × 3 × 19 × 87613
Abundant Even Composite

9,987,882 factors as 2 × 3 × 19 × 87613. Its 16 positive divisors give a proper-divisor sum of 11,039,478, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 87613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 21,027,360
Proper Divisor Sum 11,039,478
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9987881 ← → #9987889

Radix Representation

Decimal 9987882
Binary 100110000110011100101010 (24 bits)
Octal 0o46063452
Hexadecimal 0x98672A

Divisor Catalog (16)

1 2 3 6 19 38 57 114 87,613 175,226 262,839 525,678 1,664,647 3,329,294 4,993,941 9,987,882

Collatz Trajectory (207 steps to reach 1)

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

9,987,882 4,993,941 14,981,824 7,490,912 3,745,456 1,872,728 936,364 468,182 234,091 702,274 351,137 1,053,412 526,706 263,353 790,060 395,030 197,515 592,546 296,273 888,820 444,410 222,205 666,616 333,308 166,654 83,327 249,982 124,991 374,974 187,487 562,462 281,231 843,694 421,847 1,265,542 632,771 1,898,314 949,157 2,847,472 1,423,736 711,868 355,934 177,967 533,902 266,951 800,854 400,427 1,201,282 600,641 1,801,924 900,962 450,481 1,351,444 675,722 337,861 1,013,584 506,792 253,396 126,698 63,349

More profiles

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