The number 16937
16937 is the 1954th prime number. Its only divisors are 1 and 16937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16937: the 1954th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16937 is prime, so its only factors are 1 and 16937. It is the 1954th prime; the next prime is 16943 and the one before is 16931.
- 3
The divisors add up to 16938; without 16937 itself that is 1, so 16937 is deficient (1 is less than 16937). Euler's totient φ(16937) = 16936 numbers up to 16937 share no factor with it.
- 4
The digits of 16937 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
16937 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16938 |
| Euler totient φ(n) | 16936 |
| Square | 286861969 |
| Cube | 4858581168953 |
| Square root | 130.142230 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.6937 × |
16937 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and thirty-seven |
| Binary (base 2) | 100001000101001 |
| Octal (base 8) | 41051 |
| Hexadecimal (base 16) | 4229 |
| Base 3 | 212020022 |
| As time | 16937 seconds = 4 h 42 min 17 s |
Is 16937 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 2) | 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 4) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 16937 a prime number?
Yes. 16937 is divisible only by 1 and itself.
What are the factors of 16937?
1, 16937.
What is 16937 in binary?
100001000101001 (hexadecimal 4229, octal 41051).
What is the square root of 16937?
About 130.1422.
Is 16937 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16937?
16937 is the 1954th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.