λ
Sigma Notebook

2,686,908

22 × 3 × 7 × 29 × 1103
Abundant Even Composite

2,686,908 is even and not a perfect square. Its factorization is 2^2 × 3 × 7 × 29 × 1103 and its 48 divisors sum to 7,418,880.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 29 × 1103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,418,880
Proper Divisor Sum 4,731,972
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2686907 ← → #2686913

Radix Representation

Decimal 2686908
Binary 1010001111111110111100 (22 bits)
Octal 0o12177674
Hexadecimal 0x28FFBC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1,103 1,218 2,206 2,436 3,309 4,412 6,618 7,721 13,236 15,442 23,163 30,884 31,987 46,326 63,974 92,652 95,961 127,948 191,922 223,909 383,844 447,818 671,727 895,636 1,343,454 2,686,908

Collatz Trajectory (218 steps to reach 1)

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

2,686,908 1,343,454 671,727 2,015,182 1,007,591 3,022,774 1,511,387 4,534,162 2,267,081 6,801,244 3,400,622 1,700,311 5,100,934 2,550,467 7,651,402 3,825,701 11,477,104 5,738,552 2,869,276 1,434,638 717,319 2,151,958 1,075,979 3,227,938 1,613,969 4,841,908 2,420,954 1,210,477 3,631,432 1,815,716 907,858 453,929 1,361,788 680,894 340,447 1,021,342 510,671 1,532,014 766,007 2,298,022 1,149,011 3,447,034 1,723,517 5,170,552 2,585,276 1,292,638 646,319 1,938,958 969,479 2,908,438 1,454,219 4,362,658 2,181,329 6,543,988 3,271,994 1,635,997 4,907,992 2,453,996 1,226,998 613,499

More profiles

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