λ
Ratio Atlas

6,800,979

3 × 2266993
Deficient Odd Composite

6,800,979 factors as 3 × 2266993. Its 4 positive divisors give a proper-divisor sum of 2,266,997, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 3 × 2266993
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,067,976
Proper Divisor Sum 2,266,997
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6800929 ← → #6800999

Radix Representation

Decimal 6800979
Binary 11001111100011001010011 (23 bits)
Octal 0o31743123
Hexadecimal 0x67C653

Divisor Catalog (4)

1 3 2,266,993 6,800,979

Collatz Trajectory (253 steps to reach 1)

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

6,800,979 20,402,938 10,201,469 30,604,408 15,302,204 7,651,102 3,825,551 11,476,654 5,738,327 17,214,982 8,607,491 25,822,474 12,911,237 38,733,712 19,366,856 9,683,428 4,841,714 2,420,857 7,262,572 3,631,286 1,815,643 5,446,930 2,723,465 8,170,396 4,085,198 2,042,599 6,127,798 3,063,899 9,191,698 4,595,849 13,787,548 6,893,774 3,446,887 10,340,662 5,170,331 15,510,994 7,755,497 23,266,492 11,633,246 5,816,623 17,449,870 8,724,935 26,174,806 13,087,403 39,262,210 19,631,105 58,893,316 29,446,658 14,723,329 44,169,988 22,084,994 11,042,497 33,127,492 16,563,746 8,281,873 24,845,620 12,422,810 6,211,405 18,634,216 9,317,108

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