λ
Sigma Notebook

9,992,838

2 × 3 × 17 × 3132
Abundant Even Composite

9,992,838 is even and not a perfect square. Its factorization is 2 × 3 × 17 × 313^2 and its 24 divisors sum to 21,229,128.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 313^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,229,128
Proper Divisor Sum 11,236,290
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9992797 ← → #9992861

Radix Representation

Decimal 9992838
Binary 100110000111101010000110 (24 bits)
Octal 0o46075206
Hexadecimal 0x987A86

Divisor Catalog (24)

1 2 3 6 17 34 51 102 313 626 939 1,878 5,321 10,642 15,963 31,926 97,969 195,938 293,907 587,814 1,665,473 3,330,946 4,996,419 9,992,838

Collatz Trajectory (132 steps to reach 1)

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

9,992,838 4,996,419 14,989,258 7,494,629 22,483,888 11,241,944 5,620,972 2,810,486 1,405,243 4,215,730 2,107,865 6,323,596 3,161,798 1,580,899 4,742,698 2,371,349 7,114,048 3,557,024 1,778,512 889,256 444,628 222,314 111,157 333,472 166,736 83,368 41,684 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

More profiles

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