The number 207
207 is a composite number with 6 divisors. Its prime factorisation is × 23. Divisors (6): 1, 3, 9, 23, 69, 207.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 207: a Harshad number: divisible by its digit sum 9.
- 2
207 is composite. Its prime factorisation is
- 3
The divisors add up to 312; without 207 itself that is 105, so 207 is deficient (105 is less than 207). Euler's totient φ(207) = 132 numbers up to 207 share no factor with it.
- 4
The digits of 207 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 207 = 3^{2} \times 23 \]207 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 312 |
| Euler totient φ(n) | 132 |
| Square | 42849 |
| Cube | 8869743 |
| Square root | 14.387495 (= 3√23) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 2.07 × |
207 in other forms
| Form | Value |
|---|---|
| In words | two hundred and seven |
| Roman numerals | CCVII |
| Binary (base 2) | 11001111 |
| Octal (base 8) | 317 |
| Hexadecimal (base 16) | CF |
| Base 3 | 21200 |
| As time | 207 seconds = 3 min 27 s |
Is 207 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 (207 ÷ 3 = 69) | 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 | No (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. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (207 ÷ 9 = 23) | 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 9) | 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 207 a prime number?
No. 207 = × 23, so it is divisible by 3.
What are the factors of 207?
1, 3, 9, 23, 69, 207.
What is 207 in binary?
11001111 (hexadecimal CF, octal 317).
What is the square root of 207?
About 14.3875, exactly 3√23.
What is 207 in Roman numerals?
CCVII.
Is 207 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 207?
207 is a Harshad number: divisible by its digit sum 9.