The number 15373
15373 is the 1796th prime number. Its only divisors are 1 and 15373.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15373: the 1796th prime number.
- 2
15373 is prime, so its only factors are 1 and 15373. It is the 1796th prime; the next prime is 15377 and the one before is 15361.
- 3
The divisors add up to 15374; without 15373 itself that is 1, so 15373 is deficient (1 is less than 15373). Euler's totient φ(15373) = 15372 numbers up to 15373 share no factor with it.
- 4
The digits of 15373 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 146 steps to reach 1.
15373 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15374 |
| Euler totient φ(n) | 15372 |
| Square | 236329129 |
| Cube | 3633087700117 |
| Square root | 123.987903 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.5373 × |
15373 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and seventy-three |
| Binary (base 2) | 11110000001101 |
| Octal (base 8) | 36015 |
| Hexadecimal (base 16) | 3C0D |
| Base 3 | 210002101 |
| As time | 15373 seconds = 4 h 16 min 13 s |
Is 15373 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 15373 a prime number?
Yes. 15373 is divisible only by 1 and itself.
What are the factors of 15373?
1, 15373.
What is 15373 in binary?
11110000001101 (hexadecimal 3C0D, octal 36015).
What is the square root of 15373?
About 123.9879.
Is 15373 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 15373?
15373 is the 1796th prime number.