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The number 3349

3349 is a composite number with 4 divisors. Its prime factorisation is 17 × 197. Divisors (4): 1, 17, 197, 3349.

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How to work it out

  1. 1

    What is special about 3349: a semiprime: 17 × 197, the product of two primes.

  2. 2

    3349 is composite. Its prime factorisation is

    3349=17×1973349 = 17 \times 197
  3. 3

    The divisors add up to 3564; without 3349 itself that is 215, so 3349 is deficient (215 is less than 3349). Euler's totient φ(3349) = 3136 numbers up to 3349 share no factor with it.

  4. 4

    The digits of 3349 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3349 = 17 \times 197 \]

3349 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors3564
Euler totient φ(n)3136
Square11215801
Cube37561717549
Square root57.870545
Digit sum / digital root19 / 1
Collatz steps to 143
Scientific notation3.349 × 10310^{3}

3349 in other forms

FormValue
In wordsthree thousand three hundred and forty-nine
Roman numeralsMMMCCCXLIX
Binary (base 2)110100010101
Octal (base 8)6425
Hexadecimal (base 16)D15
Base 311121001
As time3349 seconds = 55 min 49 s

Is 3349 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).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3349 a prime number?

No. 3349 = 17 × 197, so it is divisible by 17.

What are the factors of 3349?

1, 17, 197, 3349.

What is 3349 in binary?

110100010101 (hexadecimal D15, octal 6425).

What is the square root of 3349?

About 57.8705.

What is 3349 in Roman numerals?

MMMCCCXLIX.

Is 3349 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 3349?

3349 is a semiprime: 17 × 197, the product of two primes.

All about 3349

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    3349: is it prime? Factors, square root, binary, Roman numeral | WordGPT