The number 1207
1207 is a composite number with 4 divisors. Its prime factorisation is 17 × 71. Divisors (4): 1, 17, 71, 1207.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1207: a semiprime: 17 × 71, the product of two primes.
- 2
1207 is composite. Its prime factorisation is
- 3
The divisors add up to 1296; without 1207 itself that is 89, so 1207 is deficient (89 is less than 1207). Euler's totient φ(1207) = 1120 numbers up to 1207 share no factor with it.
- 4
The digits of 1207 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1207 = 17 \times 71 \]
1207 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1296 |
| Euler totient φ(n) | 1120 |
| Square | 1456849 |
| Cube | 1758416743 |
| Square root | 34.741906 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 70 |
| Scientific notation | 1.207 × |
1207 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and seven |
| Roman numerals | MCCVII |
| Binary (base 2) | 10010110111 |
| Octal (base 8) | 2267 |
| Hexadecimal (base 16) | 4B7 |
| Base 3 | 1122201 |
| As time | 1207 seconds = 20 min 7 s |
Is 1207 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 | No (remainder 3) | 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 8) | 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 1207 a prime number?
No. 1207 = 17 × 71, so it is divisible by 17.
What are the factors of 1207?
1, 17, 71, 1207.
What is 1207 in binary?
10010110111 (hexadecimal 4B7, octal 2267).
What is the square root of 1207?
About 34.7419.
What is 1207 in Roman numerals?
MCCVII.
Is 1207 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1207?
1207 is a semiprime: 17 × 71, the product of two primes.