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Atlas › Integer Profiles › Node 2,006,334

2,006,334

2 × 32 × 11 × 10133
Abundant Even Composite

2,006,334 factors as 2 × 3^2 × 11 × 10133. Its 24 positive divisors give a proper-divisor sum of 2,736,378, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 10133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,742,712
Proper Divisor Sum 2,736,378
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2006317 ← → #2006339

Radix Representation

Decimal 2006334
Binary 111101001110100111110 (21 bits)
Octal 0o7516476
Hexadecimal 0x1E9D3E

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 10,133 20,266 30,399 60,798 91,197 111,463 182,394 222,926 334,389 668,778 1,003,167 2,006,334

Collatz Trajectory (277 steps to reach 1)

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

2,006,334 1,003,167 3,009,502 1,504,751 4,514,254 2,257,127 6,771,382 3,385,691 10,157,074 5,078,537 15,235,612 7,617,806 3,808,903 11,426,710 5,713,355 17,140,066 8,570,033 25,710,100 12,855,050 6,427,525 19,282,576 9,641,288 4,820,644 2,410,322 1,205,161 3,615,484 1,807,742 903,871 2,711,614 1,355,807 4,067,422 2,033,711 6,101,134 3,050,567 9,151,702 4,575,851 13,727,554 6,863,777 20,591,332 10,295,666 5,147,833 15,443,500 7,721,750 3,860,875 11,582,626 5,791,313 17,373,940 8,686,970 4,343,485 13,030,456 6,515,228 3,257,614 1,628,807 4,886,422 2,443,211 7,329,634 3,664,817 10,994,452 5,497,226 2,748,613

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