The number 2667
2667 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 127. Divisors (8): 1, 3, 7, 21, 127, 381, 889, 2667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2667: a Harshad number: divisible by its digit sum 21.
- 2
2667 is composite. Its prime factorisation is
- 3
The divisors add up to 4096; without 2667 itself that is 1429, so 2667 is deficient (1429 is less than 2667). Euler's totient φ(2667) = 1512 numbers up to 2667 share no factor with it.
- 4
The digits of 2667 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2667 = 3 \times 7 \times 127 \]
2667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4096 |
| Euler totient φ(n) | 1512 |
| Square | 7112889 |
| Cube | 18970074963 |
| Square root | 51.643005 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.667 × |
2667 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and sixty-seven |
| Roman numerals | MMDCLXVII |
| Binary (base 2) | 101001101011 |
| Octal (base 8) | 5153 |
| Hexadecimal (base 16) | A6B |
| Base 3 | 10122210 |
| As time | 2667 seconds = 44 min 27 s |
Is 2667 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 | Yes (2667 ÷ 3 = 889) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2667 ÷ 7 = 381) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2667 a prime number?
No. 2667 = 3 × 7 × 127, so it is divisible by 3.
What are the factors of 2667?
1, 3, 7, 21, 127, 381, 889, 2667.
What is 2667 in binary?
101001101011 (hexadecimal A6B, octal 5153).
What is the square root of 2667?
About 51.6430.
What is 2667 in Roman numerals?
MMDCLXVII.
Is 2667 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 2667?
2667 is a Harshad number: divisible by its digit sum 21.