The number 10837
10837 is the 1317th prime number. Its only divisors are 1 and 10837.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10837: the 1317th prime number.
- 2
10837 is prime, so its only factors are 1 and 10837. It is the 1317th prime; the next prime is 10847 and the one before is 10831.
- 3
The divisors add up to 10838; without 10837 itself that is 1, so 10837 is deficient (1 is less than 10837). Euler's totient φ(10837) = 10836 numbers up to 10837 share no factor with it.
- 4
The digits of 10837 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
10837 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10838 |
| Euler totient φ(n) | 10836 |
| Square | 117440569 |
| Cube | 1272703446253 |
| Square root | 104.100913 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0837 × |
10837 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and thirty-seven |
| Binary (base 2) | 10101001010101 |
| Octal (base 8) | 25125 |
| Hexadecimal (base 16) | 2A55 |
| Base 3 | 112212101 |
| As time | 10837 seconds = 3 h 0 min 37 s |
Is 10837 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 1) | 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 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 2) | 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 10837 a prime number?
Yes. 10837 is divisible only by 1 and itself.
What are the factors of 10837?
1, 10837.
What is 10837 in binary?
10101001010101 (hexadecimal 2A55, octal 25125).
What is the square root of 10837?
About 104.1009.
Is 10837 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 10837?
10837 is the 1317th prime number.