λ
Sequence Observatory

2,800,677

3 × 11 × 84869
Deficient Odd Composite

Starting at 2,800,677, the Collatz iteration reaches 1 after 244 steps. The first transition is 8402032; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 84869
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,073,760
Proper Divisor Sum 1,273,083
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2800663 ← → #2800703

Radix Representation

Decimal 2800677
Binary 1010101011110000100101 (22 bits)
Octal 0o12536045
Hexadecimal 0x2ABC25

Divisor Catalog (8)

1 3 11 33 84,869 254,607 933,559 2,800,677

Collatz Trajectory (244 steps to reach 1)

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

2,800,677 8,402,032 4,201,016 2,100,508 1,050,254 525,127 1,575,382 787,691 2,363,074 1,181,537 3,544,612 1,772,306 886,153 2,658,460 1,329,230 664,615 1,993,846 996,923 2,990,770 1,495,385 4,486,156 2,243,078 1,121,539 3,364,618 1,682,309 5,046,928 2,523,464 1,261,732 630,866 315,433 946,300 473,150 236,575 709,726 354,863 1,064,590 532,295 1,596,886 798,443 2,395,330 1,197,665 3,592,996 1,796,498 898,249 2,694,748 1,347,374 673,687 2,021,062 1,010,531 3,031,594 1,515,797 4,547,392 2,273,696 1,136,848 568,424 284,212 142,106 71,053 213,160 106,580

More profiles

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