The number 4667
4667 is a composite number with 4 divisors. Its prime factorisation is 13 × 359. Divisors (4): 1, 13, 359, 4667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4667: a semiprime: 13 × 359, the product of two primes.
- 2
4667 is composite. Its prime factorisation is
- 3
The divisors add up to 5040; without 4667 itself that is 373, so 4667 is deficient (373 is less than 4667). Euler's totient φ(4667) = 4296 numbers up to 4667 share no factor with it.
- 4
The digits of 4667 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4667 = 13 \times 359 \]
4667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5040 |
| Euler totient φ(n) | 4296 |
| Square | 21780889 |
| Cube | 101651408963 |
| Square root | 68.315445 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.667 × |
4667 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and sixty-seven |
| Binary (base 2) | 1001000111011 |
| Octal (base 8) | 11073 |
| Hexadecimal (base 16) | 123B |
| Base 3 | 20101212 |
| As time | 4667 seconds = 1 h 17 min 47 s |
Is 4667 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4667 a prime number?
No. 4667 = 13 × 359, so it is divisible by 13.
What are the factors of 4667?
1, 13, 359, 4667.
What is 4667 in binary?
1001000111011 (hexadecimal 123B, octal 11073).
What is the square root of 4667?
About 68.3154.
Is 4667 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 4667?
4667 is a semiprime: 13 × 359, the product of two primes.