The number 10501
10501 is a palindromic prime: it reads the same backwards and is prime, a twin prime (10499 and 10501 are both prime) and the 1285th prime number. Its only divisors are 1 and 10501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10501: a palindromic prime: it reads the same backwards and is prime; a twin prime (10499 and 10501 are both prime); the 1285th prime number; a palindrome: it reads 10501 backwards too.
- 2
10501 is prime, so its only factors are 1 and 10501. It is the 1285th prime; the next prime is 10513 and the one before is 10499.
- 3
The divisors add up to 10502; without 10501 itself that is 1, so 10501 is deficient (1 is less than 10501). Euler's totient φ(10501) = 10500 numbers up to 10501 share no factor with it.
- 4
The digits of 10501 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
10501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10502 |
| Euler totient φ(n) | 10500 |
| Square | 110271001 |
| Cube | 1157955781501 |
| Square root | 102.474387 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.0501 × |
10501 in other forms
| Form | Value |
|---|---|
| In words | ten thousand five hundred and one |
| Binary (base 2) | 10100100000101 |
| Octal (base 8) | 24405 |
| Hexadecimal (base 16) | 2905 |
| Base 3 | 112101221 |
| As time | 10501 seconds = 2 h 55 min 1 s |
Is 10501 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 1) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 10501 a prime number?
Yes. 10501 is divisible only by 1 and itself.
What are the factors of 10501?
1, 10501.
What is 10501 in binary?
10100100000101 (hexadecimal 2905, octal 24405).
What is the square root of 10501?
About 102.4744.
Is 10501 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10501?
10501 is a palindromic prime: it reads the same backwards and is prime; a twin prime (10499 and 10501 are both prime); the 1285th prime number; a palindrome: it reads 10501 backwards too.