λ
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Atlas › Integer Profiles › Node 9,851,116

9,851,116

22 × 11 × 241 × 929
Deficient Even Composite

9,851,116 factors as 2^2 × 11 × 241 × 929. Its 24 positive divisors give a proper-divisor sum of 9,053,924, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 241 × 929
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,905,040
Proper Divisor Sum 9,053,924
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9851113 ← → #9851123

Radix Representation

Decimal 9851116
Binary 100101100101000011101100 (24 bits)
Octal 0o45450354
Hexadecimal 0x9650EC

Divisor Catalog (24)

1 2 4 11 22 44 241 482 929 964 1,858 2,651 3,716 5,302 10,219 10,604 20,438 40,876 223,889 447,778 895,556 2,462,779 4,925,558 9,851,116

Collatz Trajectory (176 steps to reach 1)

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

9,851,116 4,925,558 2,462,779 7,388,338 3,694,169 11,082,508 5,541,254 2,770,627 8,311,882 4,155,941 12,467,824 6,233,912 3,116,956 1,558,478 779,239 2,337,718 1,168,859 3,506,578 1,753,289 5,259,868 2,629,934 1,314,967 3,944,902 1,972,451 5,917,354 2,958,677 8,876,032 4,438,016 2,219,008 1,109,504 554,752 277,376 138,688 69,344 34,672 17,336 8,668 4,334 2,167 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290

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