The number 373
373 is a palindromic prime: it reads the same backwards and is prime, the 74th prime number and a palindrome: it reads 373 backwards too. Its only divisors are 1 and 373.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 373: a palindromic prime: it reads the same backwards and is prime; the 74th prime number; a palindrome: it reads 373 backwards too.
- 2
373 is prime, so its only factors are 1 and 373. It is the 74th prime; the next prime is 379 and the one before is 367.
- 3
The divisors add up to 374; without 373 itself that is 1, so 373 is deficient (1 is less than 373). Euler's totient φ(373) = 372 numbers up to 373 share no factor with it.
- 4
The digits of 373 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 19 steps to reach 1.
373 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 374 |
| Euler totient φ(n) | 372 |
| Square | 139129 |
| Cube | 51895117 |
| Square root | 19.313208 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 19 |
| Scientific notation | 3.73 × |
373 in other forms
| Form | Value |
|---|---|
| In words | three hundred and seventy-three |
| Roman numerals | CCCLXXIII |
| Binary (base 2) | 101110101 |
| Octal (base 8) | 565 |
| Hexadecimal (base 16) | 175 |
| Base 3 | 111211 |
| As time | 373 seconds = 6 min 13 s |
Is 373 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 3) | 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 2) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 373 a prime number?
Yes. 373 is divisible only by 1 and itself.
What are the factors of 373?
1, 373.
What is 373 in binary?
101110101 (hexadecimal 175, octal 565).
What is the square root of 373?
About 19.3132.
What is 373 in Roman numerals?
CCCLXXIII.
Is 373 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 373?
373 is a palindromic prime: it reads the same backwards and is prime; the 74th prime number; a palindrome: it reads 373 backwards too.