The number 67001
67001 is a composite number with 4 divisors. Its prime factorisation is 11 × 6091. Divisors (4): 1, 11, 6091, 67001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67001: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 6091, the product of two primes.
- 2
67001 is composite. Its prime factorisation is
- 3
The divisors add up to 73104; without 67001 itself that is 6103, so 67001 is deficient (6103 is less than 67001). Euler's totient φ(67001) = 60900 numbers up to 67001 share no factor with it.
- 4
The digits of 67001 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67001 = 11 \times 6091 \]
67001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73104 |
| Euler totient φ(n) | 60900 |
| Square | 4489134001 |
| Cube | 300776467201001 |
| Square root | 258.845514 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.7001 × |
67001 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and one |
| Binary (base 2) | 10000010110111001 |
| Octal (base 8) | 202671 |
| Hexadecimal (base 16) | 105B9 |
| Base 3 | 10101220112 |
| As time | 67001 seconds = 18 h 36 min 41 s |
Is 67001 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 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67001 ÷ 11 = 6091) | 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 67001 a prime number?
No. 67001 = 11 × 6091, so it is divisible by 11.
What are the factors of 67001?
1, 11, 6091, 67001.
What is 67001 in binary?
10000010110111001 (hexadecimal 105B9, octal 202671).
What is the square root of 67001?
About 258.8455.
Is 67001 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 67001?
67001 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 6091, the product of two primes.