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The number 3387

3387 is a composite number with 4 divisors. Its prime factorisation is 3 × 1129. Divisors (4): 1, 3, 1129, 3387.

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How to work it out

  1. 1

    What is special about 3387: a semiprime: 3 × 1129, the product of two primes.

  2. 2

    3387 is composite. Its prime factorisation is

    3387=3×11293387 = 3 \times 1129
  3. 3

    The divisors add up to 4520; without 3387 itself that is 1133, so 3387 is deficient (1133 is less than 3387). Euler's totient φ(3387) = 2256 numbers up to 3387 share no factor with it.

  4. 4

    The digits of 3387 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3387 = 3 \times 1129 \]

3387 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors4520
Euler totient φ(n)2256
Square11471769
Cube38854881603
Square root58.197938
Digit sum / digital root21 / 3
Collatz steps to 143
Scientific notation3.387 × 10310^{3}

3387 in other forms

FormValue
In wordsthree thousand three hundred and eighty-seven
Roman numeralsMMMCCCLXXXVII
Binary (base 2)110100111011
Octal (base 8)6473
Hexadecimal (base 16)D3B
Base 311122110
As time3387 seconds = 56 min 27 s

Is 3387 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (3387 ÷ 3 = 1129)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3387 a prime number?

No. 3387 = 3 × 1129, so it is divisible by 3.

What are the factors of 3387?

1, 3, 1129, 3387.

What is 3387 in binary?

110100111011 (hexadecimal D3B, octal 6473).

What is the square root of 3387?

About 58.1979.

What is 3387 in Roman numerals?

MMMCCCLXXXVII.

Is 3387 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 3387?

3387 is a semiprime: 3 × 1129, the product of two primes.

All about 3387

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    3387: is it prime? Factors, square root, binary, Roman numeral | WordGPT