The number 67010
67010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 6701. Divisors (8): 1, 2, 5, 10, 6701, 13402, 33505, 67010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67010: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67010 is composite. Its prime factorisation is
- 3
The divisors add up to 120636; without 67010 itself that is 53626, so 67010 is deficient (53626 is less than 67010). Euler's totient φ(67010) = 26800 numbers up to 67010 share no factor with it.
- 4
The digits of 67010 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67010 = 2 \times 5 \times 6701 \]
67010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 120636 |
| Euler totient φ(n) | 26800 |
| Square | 4490340100 |
| Cube | 300897690101000 |
| Square root | 258.862898 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 6.701 × |
67010 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and ten |
| Binary (base 2) | 10000010111000010 |
| Octal (base 8) | 202702 |
| Hexadecimal (base 16) | 105C2 |
| Base 3 | 10101220212 |
| As time | 67010 seconds = 18 h 36 min 50 s |
Is 67010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67010 ÷ 2 = 33505) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67010 ÷ 5 = 13402) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | 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 | Yes (67010 ÷ 10 = 6701) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67010 a prime number?
No. 67010 = 2 × 5 × 6701, so it is divisible by 2.
What are the factors of 67010?
1, 2, 5, 10, 6701, 13402, 33505, 67010.
What is 67010 in binary?
10000010111000010 (hexadecimal 105C2, octal 202702).
What is the square root of 67010?
About 258.8629.
Is 67010 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 67010?
67010 is a happy number: repeatedly adding the squares of its digits reaches 1.