The number 15773
15773 is the 1840th prime number. Its only divisors are 1 and 15773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15773: the 1840th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
15773 is prime, so its only factors are 1 and 15773. It is the 1840th prime; the next prime is 15787 and the one before is 15767.
- 3
The divisors add up to 15774; without 15773 itself that is 1, so 15773 is deficient (1 is less than 15773). Euler's totient φ(15773) = 15772 numbers up to 15773 share no factor with it.
- 4
The digits of 15773 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
15773 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15774 |
| Euler totient φ(n) | 15772 |
| Square | 248787529 |
| Cube | 3924125694917 |
| Square root | 125.590605 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 177 |
| Scientific notation | 1.5773 × |
15773 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand seven hundred and seventy-three |
| Binary (base 2) | 11110110011101 |
| Octal (base 8) | 36635 |
| Hexadecimal (base 16) | 3D9D |
| Base 3 | 210122012 |
| As time | 15773 seconds = 4 h 22 min 53 s |
Is 15773 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 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15773 a prime number?
Yes. 15773 is divisible only by 1 and itself.
What are the factors of 15773?
1, 15773.
What is 15773 in binary?
11110110011101 (hexadecimal 3D9D, octal 36635).
What is the square root of 15773?
About 125.5906.
Is 15773 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 15773?
15773 is the 1840th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.