λ
Sigma Notebook

7,873,667

907 × 8681
Deficient Odd Composite

7,873,667 is odd and not a perfect square. Its factorization is 907 × 8681 and its 4 divisors sum to 7,883,256.

Prime Factor Structure

Factorization String 907 × 8681
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,883,256
Proper Divisor Sum 9,589
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7873661 ← → #7873699

Radix Representation

Decimal 7873667
Binary 11110000010010010000011 (23 bits)
Octal 0o36022203
Hexadecimal 0x782483

Divisor Catalog (4)

1 907 8,681 7,873,667

Collatz Trajectory (186 steps to reach 1)

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

7,873,667 23,621,002 11,810,501 35,431,504 17,715,752 8,857,876 4,428,938 2,214,469 6,643,408 3,321,704 1,660,852 830,426 415,213 1,245,640 622,820 311,410 155,705 467,116 233,558 116,779 350,338 175,169 525,508 262,754 131,377 394,132 197,066 98,533 295,600 147,800 73,900 36,950 18,475 55,426 27,713 83,140 41,570 20,785 62,356 31,178 15,589 46,768 23,384 11,692 5,846 2,923 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388

More profiles

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