The number 39967
39967 is a composite number with 4 divisors. Its prime factorisation is 17 × 2351. Divisors (4): 1, 17, 2351, 39967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39967: a semiprime: 17 × 2351, the product of two primes.
- 2
39967 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 39967 itself that is 2369, so 39967 is deficient (2369 is less than 39967). Euler's totient φ(39967) = 37600 numbers up to 39967 share no factor with it.
- 4
The digits of 39967 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39967 = 17 \times 2351 \]
39967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 37600 |
| Square | 1597361089 |
| Cube | 63841730644063 |
| Square root | 199.917483 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.9967 × |
39967 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and sixty-seven |
| Binary (base 2) | 1001110000011111 |
| Octal (base 8) | 116037 |
| Hexadecimal (base 16) | 9C1F |
| Base 3 | 2000211021 |
| As time | 39967 seconds = 11 h 6 min 7 s |
Is 39967 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 2) | 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 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 39967 a prime number?
No. 39967 = 17 × 2351, so it is divisible by 17.
What are the factors of 39967?
1, 17, 2351, 39967.
What is 39967 in binary?
1001110000011111 (hexadecimal 9C1F, octal 116037).
What is the square root of 39967?
About 199.9175.
Is 39967 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 39967?
39967 is a semiprime: 17 × 2351, the product of two primes.