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The number 3385

3385 is a composite number with 4 divisors. Its prime factorisation is 5 × 677. Divisors (4): 1, 5, 677, 3385.

Number

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How to work it out

  1. 1

    What is special about 3385: a semiprime: 5 × 677, the product of two primes.

  2. 2

    3385 is composite. Its prime factorisation is

    3385=5×6773385 = 5 \times 677
  3. 3

    The divisors add up to 4068; without 3385 itself that is 683, so 3385 is deficient (683 is less than 3385). Euler's totient φ(3385) = 2704 numbers up to 3385 share no factor with it.

  4. 4

    The digits of 3385 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 180 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3385 = 5 \times 677 \]

3385 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors4068
Euler totient φ(n)2704
Square11458225
Cube38786091625
Square root58.180753
Digit sum / digital root19 / 1
Collatz steps to 1180
Scientific notation3.385 × 10310^{3}

3385 in other forms

FormValue
In wordsthree thousand three hundred and eighty-five
Roman numeralsMMMCCCLXXXV
Binary (base 2)110100111001
Octal (base 8)6471
Hexadecimal (base 16)D39
Base 311122101
As time3385 seconds = 56 min 25 s

Is 3385 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.
5Yes (3385 ÷ 5 = 677)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 4)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 1)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 3385 a prime number?

No. 3385 = 5 × 677, so it is divisible by 5.

What are the factors of 3385?

1, 5, 677, 3385.

What is 3385 in binary?

110100111001 (hexadecimal D39, octal 6471).

What is the square root of 3385?

About 58.1808.

What is 3385 in Roman numerals?

MMMCCCLXXXV.

Is 3385 divisible by 3?

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

What is special about the number 3385?

3385 is a semiprime: 5 × 677, the product of two primes.

All about 3385

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    3385: is it prime? Factors, square root, binary, Roman numeral | WordGPT