The number 3367
3367 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 37. Divisors (8): 1, 7, 13, 37, 91, 259, 481, 3367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3367: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3367 is composite. Its prime factorisation is
- 3
The divisors add up to 4256; without 3367 itself that is 889, so 3367 is deficient (889 is less than 3367). Euler's totient φ(3367) = 2592 numbers up to 3367 share no factor with it.
- 4
The digits of 3367 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3367 = 7 \times 13 \times 37 \]
3367 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4256 |
| Euler totient φ(n) | 2592 |
| Square | 11336689 |
| Cube | 38170631863 |
| Square root | 58.025856 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.367 × |
3367 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and sixty-seven |
| Roman numerals | MMMCCCLXVII |
| Binary (base 2) | 110100100111 |
| Octal (base 8) | 6447 |
| Hexadecimal (base 16) | D27 |
| Base 3 | 11121201 |
| As time | 3367 seconds = 56 min 7 s |
Is 3367 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3367 ÷ 7 = 481) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3367 a prime number?
No. 3367 = 7 × 13 × 37, so it is divisible by 7.
What are the factors of 3367?
1, 7, 13, 37, 91, 259, 481, 3367.
What is 3367 in binary?
110100100111 (hexadecimal D27, octal 6447).
What is the square root of 3367?
About 58.0259.
What is 3367 in Roman numerals?
MMMCCCLXVII.
Is 3367 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3367?
3367 is a happy number: repeatedly adding the squares of its digits reaches 1.