The number 61409
61409 is the 6178th prime number. Its only divisors are 1 and 61409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61409: the 6178th prime number.
- 2
61409 is prime, so its only factors are 1 and 61409. It is the 6178th prime; the next prime is 61417 and the one before is 61403.
- 3
The divisors add up to 61410; without 61409 itself that is 1, so 61409 is deficient (1 is less than 61409). Euler's totient φ(61409) = 61408 numbers up to 61409 share no factor with it.
- 4
The digits of 61409 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
61409 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61410 |
| Euler totient φ(n) | 61408 |
| Square | 3771065281 |
| Cube | 231577347840929 |
| Square root | 247.808394 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.1409 × |
61409 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and nine |
| Binary (base 2) | 1110111111100001 |
| Octal (base 8) | 167741 |
| Hexadecimal (base 16) | EFE1 |
| Base 3 | 10010020102 |
| As time | 61409 seconds = 17 h 3 min 29 s |
Is 61409 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 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 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 61409 a prime number?
Yes. 61409 is divisible only by 1 and itself.
What are the factors of 61409?
1, 61409.
What is 61409 in binary?
1110111111100001 (hexadecimal EFE1, octal 167741).
What is the square root of 61409?
About 247.8084.
Is 61409 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 61409?
61409 is the 6178th prime number.