The number 1237
1237 is the 203rd prime number. Its only divisors are 1 and 1237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1237: the 203rd prime number.
- 2
1237 is prime, so its only factors are 1 and 1237. It is the 203rd prime; the next prime is 1249 and the one before is 1231.
- 3
The divisors add up to 1238; without 1237 itself that is 1, so 1237 is deficient (1 is less than 1237). Euler's totient φ(1237) = 1236 numbers up to 1237 share no factor with it.
- 4
The digits of 1237 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
1237 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1238 |
| Euler totient φ(n) | 1236 |
| Square | 1530169 |
| Cube | 1892819053 |
| Square root | 35.171011 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.237 × |
1237 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and thirty-seven |
| Roman numerals | MCCXXXVII |
| Binary (base 2) | 10011010101 |
| Octal (base 8) | 2325 |
| Hexadecimal (base 16) | 4D5 |
| Base 3 | 1200211 |
| As time | 1237 seconds = 20 min 37 s |
Is 1237 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 1) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1237 a prime number?
Yes. 1237 is divisible only by 1 and itself.
What are the factors of 1237?
1, 1237.
What is 1237 in binary?
10011010101 (hexadecimal 4D5, octal 2325).
What is the square root of 1237?
About 35.1710.
What is 1237 in Roman numerals?
MCCXXXVII.
Is 1237 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1237?
1237 is the 203rd prime number.