λ
Sigma Notebook

8,463,993

3 × 2821331
Deficient Odd Composite

8,463,993 is odd and not a perfect square. Its factorization is 3 × 2821331 and its 4 divisors sum to 11,285,328.

Prime Factor Structure

Factorization String 3 × 2821331
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,285,328
Proper Divisor Sum 2,821,335
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8463979 ← → #8464007

Radix Representation

Decimal 8463993
Binary 100000010010011001111001 (24 bits)
Octal 0o40223171
Hexadecimal 0x812679

Divisor Catalog (4)

1 3 2,821,331 8,463,993

Collatz Trajectory (274 steps to reach 1)

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

8,463,993 25,391,980 12,695,990 6,347,995 19,043,986 9,521,993 28,565,980 14,282,990 7,141,495 21,424,486 10,712,243 32,136,730 16,068,365 48,205,096 24,102,548 12,051,274 6,025,637 18,076,912 9,038,456 4,519,228 2,259,614 1,129,807 3,389,422 1,694,711 5,084,134 2,542,067 7,626,202 3,813,101 11,439,304 5,719,652 2,859,826 1,429,913 4,289,740 2,144,870 1,072,435 3,217,306 1,608,653 4,825,960 2,412,980 1,206,490 603,245 1,809,736 904,868 452,434 226,217 678,652 339,326 169,663 508,990 254,495 763,486 381,743 1,145,230 572,615 1,717,846 858,923 2,576,770 1,288,385 3,865,156 1,932,578

More profiles

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