λ
Sigma Notebook

9,421,791

3 × 17 × 37 × 4993
Deficient Odd Composite

9,421,791 is odd and not a perfect square. Its factorization is 3 × 17 × 37 × 4993 and its 16 divisors sum to 13,663,584.

Prime Factor Structure

Factorization String 3 × 17 × 37 × 4993
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,663,584
Proper Divisor Sum 4,241,793
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9421751 ← → #9421793

Radix Representation

Decimal 9421791
Binary 100011111100001111011111 (24 bits)
Octal 0o43741737
Hexadecimal 0x8FC3DF

Divisor Catalog (16)

1 3 17 37 51 111 629 1,887 4,993 14,979 84,881 184,741 254,643 554,223 3,140,597 9,421,791

Collatz Trajectory (256 steps to reach 1)

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

9,421,791 28,265,374 14,132,687 42,398,062 21,199,031 63,597,094 31,798,547 95,395,642 47,697,821 143,093,464 71,546,732 35,773,366 17,886,683 53,660,050 26,830,025 80,490,076 40,245,038 20,122,519 60,367,558 30,183,779 90,551,338 45,275,669 135,827,008 67,913,504 33,956,752 16,978,376 8,489,188 4,244,594 2,122,297 6,366,892 3,183,446 1,591,723 4,775,170 2,387,585 7,162,756 3,581,378 1,790,689 5,372,068 2,686,034 1,343,017 4,029,052 2,014,526 1,007,263 3,021,790 1,510,895 4,532,686 2,266,343 6,799,030 3,399,515 10,198,546 5,099,273 15,297,820 7,648,910 3,824,455 11,473,366 5,736,683 17,210,050 8,605,025 25,815,076 12,907,538

More profiles

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