The number 67990
67990 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 523. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 523, 1046, 2615, 5230, 6799, 13598, 33995, 67990.
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How to work it out
- 1
67990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67990 is composite. Its prime factorisation is
- 3
The divisors add up to 132048; without 67990 itself that is 64058, so 67990 is deficient (64058 is less than 67990). Euler's totient φ(67990) = 25056 numbers up to 67990 share no factor with it.
- 4
The digits of 67990 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67990 = 2 \times 5 \times 13 \times 523 \]
67990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 132048 |
| Euler totient φ(n) | 25056 |
| Square | 4622640100 |
| Cube | 314293300399000 |
| Square root | 260.748921 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.799 × |
67990 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and ninety |
| Binary (base 2) | 10000100110010110 |
| Octal (base 8) | 204626 |
| Hexadecimal (base 16) | 10996 |
| Base 3 | 10110021011 |
| As time | 67990 seconds = 18 h 53 min 10 s |
Is 67990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67990 ÷ 2 = 33995) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67990 ÷ 5 = 13598) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67990 ÷ 10 = 6799) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67990 a prime number?
No. 67990 = 2 × 5 × 13 × 523, so it is divisible by 2.
What are the factors of 67990?
1, 2, 5, 10, 13, 26, 65, 130, 523, 1046, 2615, 5230, 6799, 13598, 33995, 67990.
What is 67990 in binary?
10000100110010110 (hexadecimal 10996, octal 204626).
What is the square root of 67990?
About 260.7489.
Is 67990 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67990?
It is a composite number with 16 divisors.