λ
Sigma Notebook

987,644

22 × 72 × 5039
Abundant Even Composite

987,644 is even and not a perfect square. Its factorization is 2^2 × 7^2 × 5039 and its 18 divisors sum to 2,010,960.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 5039
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 2,010,960
Proper Divisor Sum 1,023,316
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #987631 ← → #987659

Radix Representation

Decimal 987644
Binary 11110001000111111100 (20 bits)
Octal 0o3610774
Hexadecimal 0xF11FC

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 5,039 10,078 20,156 35,273 70,546 141,092 246,911 493,822 987,644

Collatz Trajectory (183 steps to reach 1)

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

987,644 493,822 246,911 740,734 370,367 1,111,102 555,551 1,666,654 833,327 2,499,982 1,249,991 3,749,974 1,874,987 5,624,962 2,812,481 8,437,444 4,218,722 2,109,361 6,328,084 3,164,042 1,582,021 4,746,064 2,373,032 1,186,516 593,258 296,629 889,888 444,944 222,472 111,236 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589

More profiles

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