The number 10337
10337 is the 1269th prime number. Its only divisors are 1 and 10337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10337: the 1269th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10337 is prime, so its only factors are 1 and 10337. It is the 1269th prime; the next prime is 10343 and the one before is 10333.
- 3
The divisors add up to 10338; without 10337 itself that is 1, so 10337 is deficient (1 is less than 10337). Euler's totient φ(10337) = 10336 numbers up to 10337 share no factor with it.
- 4
The digits of 10337 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
10337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10338 |
| Euler totient φ(n) | 10336 |
| Square | 106853569 |
| Cube | 1104545342753 |
| Square root | 101.671038 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0337 × |
10337 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and thirty-seven |
| Binary (base 2) | 10100001100001 |
| Octal (base 8) | 24141 |
| Hexadecimal (base 16) | 2861 |
| Base 3 | 112011212 |
| As time | 10337 seconds = 2 h 52 min 17 s |
Is 10337 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 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 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 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10337 a prime number?
Yes. 10337 is divisible only by 1 and itself.
What are the factors of 10337?
1, 10337.
What is 10337 in binary?
10100001100001 (hexadecimal 2861, octal 24141).
What is the square root of 10337?
About 101.6710.
Is 10337 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10337?
10337 is the 1269th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.