The number 70061
70061 is the 6942nd prime number. Its only divisors are 1 and 70061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70061: the 6942nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
70061 is prime, so its only factors are 1 and 70061. It is the 6942nd prime; the next prime is 70067 and the one before is 70051.
- 3
The divisors add up to 70062; without 70061 itself that is 1, so 70061 is deficient (1 is less than 70061). Euler's totient φ(70061) = 70060 numbers up to 70061 share no factor with it.
- 4
The digits of 70061 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 205 steps to reach 1.
70061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 70062 |
| Euler totient φ(n) | 70060 |
| Square | 4908543721 |
| Cube | 343897481636981 |
| Square root | 264.690385 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 205 |
| Scientific notation | 7.0061 × |
70061 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and sixty-one |
| Binary (base 2) | 10001000110101101 |
| Octal (base 8) | 210655 |
| Hexadecimal (base 16) | 111AD |
| Base 3 | 10120002212 |
| As time | 70061 seconds = 19 h 27 min 41 s |
Is 70061 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 5) | 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 5) | 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 | No (remainder 2) | 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 70061 a prime number?
Yes. 70061 is divisible only by 1 and itself.
What are the factors of 70061?
1, 70061.
What is 70061 in binary?
10001000110101101 (hexadecimal 111AD, octal 210655).
What is the square root of 70061?
About 264.6904.
Is 70061 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 70061?
70061 is the 6942nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.