The number 61967
61967 is the 6228th prime number. Its only divisors are 1 and 61967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61967: the 6228th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61967 is prime, so its only factors are 1 and 61967. It is the 6228th prime; the next prime is 61979 and the one before is 61961.
- 3
The divisors add up to 61968; without 61967 itself that is 1, so 61967 is deficient (1 is less than 61967). Euler's totient φ(61967) = 61966 numbers up to 61967 share no factor with it.
- 4
The digits of 61967 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
61967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61968 |
| Euler totient φ(n) | 61966 |
| Square | 3839909089 |
| Cube | 237947646518063 |
| Square root | 248.931718 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1967 × |
61967 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and sixty-seven |
| Binary (base 2) | 1111001000001111 |
| Octal (base 8) | 171017 |
| Hexadecimal (base 16) | F20F |
| Base 3 | 10011000002 |
| As time | 61967 seconds = 17 h 12 min 47 s |
Is 61967 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61967 a prime number?
Yes. 61967 is divisible only by 1 and itself.
What are the factors of 61967?
1, 61967.
What is 61967 in binary?
1111001000001111 (hexadecimal F20F, octal 171017).
What is the square root of 61967?
About 248.9317.
Is 61967 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 61967?
61967 is the 6228th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.