λ
Sigma Notebook

6,816,723

3 × 2272241
Deficient Odd Composite

6,816,723 is odd and not a perfect square. Its factorization is 3 × 2272241 and its 4 divisors sum to 9,088,968.

Prime Factor Structure

Factorization String 3 × 2272241
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,088,968
Proper Divisor Sum 2,272,245
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6816721 ← → #6816731

Radix Representation

Decimal 6816723
Binary 11010000000001111010011 (23 bits)
Octal 0o32001723
Hexadecimal 0x6803D3

Divisor Catalog (4)

1 3 2,272,241 6,816,723

Collatz Trajectory (116 steps to reach 1)

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

6,816,723 20,450,170 10,225,085 30,675,256 15,337,628 7,668,814 3,834,407 11,503,222 5,751,611 17,254,834 8,627,417 25,882,252 12,941,126 6,470,563 19,411,690 9,705,845 29,117,536 14,558,768 7,279,384 3,639,692 1,819,846 909,923 2,729,770 1,364,885 4,094,656 2,047,328 1,023,664 511,832 255,916 127,958 63,979 191,938 95,969 287,908 143,954 71,977 215,932 107,966 53,983 161,950 80,975 242,926 121,463 364,390 182,195 546,586 273,293 819,880 409,940 204,970 102,485 307,456 153,728 76,864 38,432 19,216 9,608 4,804 2,402 1,201

More profiles

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