λ
Sigma Notebook

9,365,109

3 × 13 × 240131
Deficient Odd Composite

9,365,109 is odd and not a perfect square. Its factorization is 3 × 13 × 240131 and its 8 divisors sum to 13,447,392.

Prime Factor Structure

Factorization String 3 × 13 × 240131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,447,392
Proper Divisor Sum 4,082,283
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9365077 ← → #9365137

Radix Representation

Decimal 9365109
Binary 100011101110011001110101 (24 bits)
Octal 0o43563165
Hexadecimal 0x8EE675

Divisor Catalog (8)

1 3 13 39 240,131 720,393 3,121,703 9,365,109

Collatz Trajectory (132 steps to reach 1)

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

9,365,109 28,095,328 14,047,664 7,023,832 3,511,916 1,755,958 877,979 2,633,938 1,316,969 3,950,908 1,975,454 987,727 2,963,182 1,481,591 4,444,774 2,222,387 6,667,162 3,333,581 10,000,744 5,000,372 2,500,186 1,250,093 3,750,280 1,875,140 937,570 468,785 1,406,356 703,178 351,589 1,054,768 527,384 263,692 131,846 65,923 197,770 98,885 296,656 148,328 74,164 37,082 18,541 55,624 27,812 13,906 6,953 20,860 10,430 5,215 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902

More profiles

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