λ
Sigma Notebook

9,483,012

22 × 32 × 7 × 112 × 311
Abundant Even Composite

9,483,012 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 7 × 11^2 × 311 and its 108 divisors sum to 30,209,088.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 11^2 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 30,209,088
Proper Divisor Sum 20,726,076
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9483007 ← → #9483017

Radix Representation

Decimal 9483012
Binary 100100001011001100000100 (24 bits)
Octal 0o44131404
Hexadecimal 0x90B304

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 311 363 396 462 484 622 693 726 847 924 933 1,089 1,244 1,386 1,452 1,694 1,866 2,177 2,178 2,541 2,772 2,799 3,388 3,421 3,732 4,354 4,356 5,082

Collatz Trajectory (150 steps to reach 1)

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

9,483,012 4,741,506 2,370,753 7,112,260 3,556,130 1,778,065 5,334,196 2,667,098 1,333,549 4,000,648 2,000,324 1,000,162 500,081 1,500,244 750,122 375,061 1,125,184 562,592 281,296 140,648 70,324 35,162 17,581 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042

More profiles

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