λ
Sigma Notebook

6,730,821

32 × 747869
Deficient Odd Composite

6,730,821 is odd and not a perfect square. Its factorization is 3^2 × 747869 and its 6 divisors sum to 9,722,310.

Prime Factor Structure

Factorization String 3^2 × 747869
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,722,310
Proper Divisor Sum 2,991,489
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6730811 ← → #6730849

Radix Representation

Decimal 6730821
Binary 11001101011010001000101 (23 bits)
Octal 0o31532105
Hexadecimal 0x66B445

Divisor Catalog (6)

1 3 9 747,869 2,243,607 6,730,821

Collatz Trajectory (72 steps to reach 1)

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

6,730,821 20,192,464 10,096,232 5,048,116 2,524,058 1,262,029 3,786,088 1,893,044 946,522 473,261 1,419,784 709,892 354,946 177,473 532,420 266,210 133,105 399,316 199,658 99,829 299,488 149,744 74,872 37,436 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34

More profiles

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