The number 61379
61379 is a twin prime (61379 and 61381 are both prime) and the 6175th prime number. Its only divisors are 1 and 61379.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61379: a twin prime (61379 and 61381 are both prime); the 6175th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61379 is prime, so its only factors are 1 and 61379. It is the 6175th prime; the next prime is 61381 and the one before is 61363.
- 3
The divisors add up to 61380; without 61379 itself that is 1, so 61379 is deficient (1 is less than 61379). Euler's totient φ(61379) = 61378 numbers up to 61379 share no factor with it.
- 4
The digits of 61379 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
61379 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61380 |
| Euler totient φ(n) | 61378 |
| Square | 3767381641 |
| Cube | 231238117742939 |
| Square root | 247.747856 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.1379 × |
61379 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and seventy-nine |
| Binary (base 2) | 1110111111000011 |
| Octal (base 8) | 167703 |
| Hexadecimal (base 16) | EFC3 |
| Base 3 | 10010012022 |
| As time | 61379 seconds = 17 h 2 min 59 s |
Is 61379 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 10) | 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 61379 a prime number?
Yes. 61379 is divisible only by 1 and itself.
What are the factors of 61379?
1, 61379.
What is 61379 in binary?
1110111111000011 (hexadecimal EFC3, octal 167703).
What is the square root of 61379?
About 247.7479.
Is 61379 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 61379?
61379 is a twin prime (61379 and 61381 are both prime); the 6175th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.