λ
Sigma Notebook

2,922,921

32 × 79 × 4111
Deficient Odd Composite

2,922,921 is odd and not a perfect square. Its factorization is 3^2 × 79 × 4111 and its 12 divisors sum to 4,276,480.

Prime Factor Structure

Factorization String 3^2 × 79 × 4111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,276,480
Proper Divisor Sum 1,353,559
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2922911 ← → #2922961

Radix Representation

Decimal 2922921
Binary 1011001001100110101001 (22 bits)
Octal 0o13114651
Hexadecimal 0x2C99A9

Divisor Catalog (12)

1 3 9 79 237 711 4,111 12,333 36,999 324,769 974,307 2,922,921

Collatz Trajectory (200 steps to reach 1)

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

2,922,921 8,768,764 4,384,382 2,192,191 6,576,574 3,288,287 9,864,862 4,932,431 14,797,294 7,398,647 22,195,942 11,097,971 33,293,914 16,646,957 49,940,872 24,970,436 12,485,218 6,242,609 18,727,828 9,363,914 4,681,957 14,045,872 7,022,936 3,511,468 1,755,734 877,867 2,633,602 1,316,801 3,950,404 1,975,202 987,601 2,962,804 1,481,402 740,701 2,222,104 1,111,052 555,526 277,763 833,290 416,645 1,249,936 624,968 312,484 156,242 78,121 234,364 117,182 58,591 175,774 87,887 263,662 131,831 395,494 197,747 593,242 296,621 889,864 444,932 222,466 111,233

More profiles

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