λ
Sigma Notebook

2,827,982

2 × 1413991
Deficient Even Composite

2,827,982 is even and not a perfect square. Its factorization is 2 × 1413991 and its 4 divisors sum to 4,241,976.

Prime Factor Structure

Factorization String 2 × 1413991
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,241,976
Proper Divisor Sum 1,413,994
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2827973 ← → #2827987

Radix Representation

Decimal 2827982
Binary 1010110010011011001110 (22 bits)
Octal 0o12623316
Hexadecimal 0x2B26CE

Divisor Catalog (4)

1 2 1,413,991 2,827,982

Collatz Trajectory (107 steps to reach 1)

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

2,827,982 1,413,991 4,241,974 2,120,987 6,362,962 3,181,481 9,544,444 4,772,222 2,386,111 7,158,334 3,579,167 10,737,502 5,368,751 16,106,254 8,053,127 24,159,382 12,079,691 36,239,074 18,119,537 54,358,612 27,179,306 13,589,653 40,768,960 20,384,480 10,192,240 5,096,120 2,548,060 1,274,030 637,015 1,911,046 955,523 2,866,570 1,433,285 4,299,856 2,149,928 1,074,964 537,482 268,741 806,224 403,112 201,556 100,778 50,389 151,168 75,584 37,792 18,896 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499

More profiles

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