The number 16939
16939 is a composite number with 4 divisors. Its prime factorisation is 13 × 1303. Divisors (4): 1, 13, 1303, 16939.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16939: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 1303, the product of two primes.
- 2
16939 is composite. Its prime factorisation is
- 3
The divisors add up to 18256; without 16939 itself that is 1317, so 16939 is deficient (1317 is less than 16939). Euler's totient φ(16939) = 15624 numbers up to 16939 share no factor with it.
- 4
The digits of 16939 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16939 = 13 \times 1303 \]
16939 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18256 |
| Euler totient φ(n) | 15624 |
| Square | 286929721 |
| Cube | 4860302544019 |
| Square root | 130.149914 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.6939 × |
16939 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and thirty-nine |
| Binary (base 2) | 100001000101011 |
| Octal (base 8) | 41053 |
| Hexadecimal (base 16) | 422B |
| Base 3 | 212020101 |
| As time | 16939 seconds = 4 h 42 min 19 s |
Is 16939 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 9) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16939 a prime number?
No. 16939 = 13 × 1303, so it is divisible by 13.
What are the factors of 16939?
1, 13, 1303, 16939.
What is 16939 in binary?
100001000101011 (hexadecimal 422B, octal 41053).
What is the square root of 16939?
About 130.1499.
Is 16939 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 16939?
16939 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 1303, the product of two primes.