The number 67969
67969 is a composite number with 8 divisors. Its prime factorisation is 11 × 37 × 167. Divisors (8): 1, 11, 37, 167, 407, 1837, 6179, 67969.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67969: a Harshad number: divisible by its digit sum 37.
- 2
67969 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 67969 itself that is 8639, so 67969 is deficient (8639 is less than 67969). Euler's totient φ(67969) = 59760 numbers up to 67969 share no factor with it.
- 4
The digits of 67969 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67969 = 11 \times 37 \times 167 \]
67969 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 59760 |
| Square | 4619784961 |
| Cube | 314002164014209 |
| Square root | 260.708650 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7969 × |
67969 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and sixty-nine |
| Binary (base 2) | 10000100110000001 |
| Octal (base 8) | 204601 |
| Hexadecimal (base 16) | 10981 |
| Base 3 | 10110020101 |
| As time | 67969 seconds = 18 h 52 min 49 s |
Is 67969 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 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 1) | 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 | Yes (67969 ÷ 11 = 6179) | 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 67969 a prime number?
No. 67969 = 11 × 37 × 167, so it is divisible by 11.
What are the factors of 67969?
1, 11, 37, 167, 407, 1837, 6179, 67969.
What is 67969 in binary?
10000100110000001 (hexadecimal 10981, octal 204601).
What is the square root of 67969?
About 260.7086.
Is 67969 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 67969?
67969 is a Harshad number: divisible by its digit sum 37.