The number 15973
15973 is a twin prime (15971 and 15973 are both prime) and the 1861st prime number. Its only divisors are 1 and 15973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15973: a twin prime (15971 and 15973 are both prime); the 1861st prime number.
- 2
15973 is prime, so its only factors are 1 and 15973. It is the 1861st prime; the next prime is 15991 and the one before is 15971.
- 3
The divisors add up to 15974; without 15973 itself that is 1, so 15973 is deficient (1 is less than 15973). Euler's totient φ(15973) = 15972 numbers up to 15973 share no factor with it.
- 4
The digits of 15973 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
15973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15974 |
| Euler totient φ(n) | 15972 |
| Square | 255136729 |
| Cube | 4075298972317 |
| Square root | 126.384334 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5973 × |
15973 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand nine hundred and seventy-three |
| Binary (base 2) | 11111001100101 |
| Octal (base 8) | 37145 |
| Hexadecimal (base 16) | 3E65 |
| Base 3 | 210220121 |
| As time | 15973 seconds = 4 h 26 min 13 s |
Is 15973 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 6) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 15973 a prime number?
Yes. 15973 is divisible only by 1 and itself.
What are the factors of 15973?
1, 15973.
What is 15973 in binary?
11111001100101 (hexadecimal 3E65, octal 37145).
What is the square root of 15973?
About 126.3843.
Is 15973 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 15973?
15973 is a twin prime (15971 and 15973 are both prime); the 1861st prime number.