λ
Integer Codex

6,836,879

7 × 157 × 6221
Deficient Odd Composite

For 6,836,879, the 8 positive divisors have a total of 7,864,608. Removing 6,836,879 leaves 1,027,729, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 157 × 6221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,864,608
Proper Divisor Sum 1,027,729
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #6836867 ← → #6836969

Radix Representation

Decimal 6836879
Binary 11010000101001010001111 (23 bits)
Octal 0o32051217
Hexadecimal 0x68528F

Divisor Catalog (8)

1 7 157 1,099 6,221 43,547 976,697 6,836,879

Collatz Trajectory (129 steps to reach 1)

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

6,836,879 20,510,638 10,255,319 30,765,958 15,382,979 46,148,938 23,074,469 69,223,408 34,611,704 17,305,852 8,652,926 4,326,463 12,979,390 6,489,695 19,469,086 9,734,543 29,203,630 14,601,815 43,805,446 21,902,723 65,708,170 32,854,085 98,562,256 49,281,128 24,640,564 12,320,282 6,160,141 18,480,424 9,240,212 4,620,106 2,310,053 6,930,160 3,465,080 1,732,540 866,270 433,135 1,299,406 649,703 1,949,110 974,555 2,923,666 1,461,833 4,385,500 2,192,750 1,096,375 3,289,126 1,644,563 4,933,690 2,466,845 7,400,536 3,700,268 1,850,134 925,067 2,775,202 1,387,601 4,162,804 2,081,402 1,040,701 3,122,104 1,561,052

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