The number 953
953 is the 162nd prime number. Its only divisors are 1 and 953.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 953: the 162nd prime number.
- 2
953 is prime, so its only factors are 1 and 953. It is the 162nd prime; the next prime is 967 and the one before is 947.
- 3
The divisors add up to 954; without 953 itself that is 1, so 953 is deficient (1 is less than 953). Euler's totient φ(953) = 952 numbers up to 953 share no factor with it.
- 4
The digits of 953 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
953 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 954 |
| Euler totient φ(n) | 952 |
| Square | 908209 |
| Cube | 865523177 |
| Square root | 30.870698 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 28 |
| Scientific notation | 9.53 × |
953 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and fifty-three |
| Roman numerals | CMLIII |
| Binary (base 2) | 1110111001 |
| Octal (base 8) | 1671 |
| Hexadecimal (base 16) | 3B9 |
| Base 3 | 1022022 |
| As time | 953 seconds = 15 min 53 s |
Is 953 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 3) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 953 a prime number?
Yes. 953 is divisible only by 1 and itself.
What are the factors of 953?
1, 953.
What is 953 in binary?
1110111001 (hexadecimal 3B9, octal 1671).
What is the square root of 953?
About 30.8707.
What is 953 in Roman numerals?
CMLIII.
Is 953 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 953?
953 is the 162nd prime number.