The number 61364
61364 is a composite number with 18 divisors. Its prime factorisation is × × 29. Divisors (18): 1, 2, 4, 23, 29, 46, 58, 92, 116, 529, 667, 1058, 1334, 2116, 2668, 15341 … 61364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61364 is composite. Its prime factorisation is
- 3
The divisors add up to 116130; without 61364 itself that is 54766, so 61364 is deficient (54766 is less than 61364). Euler's totient φ(61364) = 28336 numbers up to 61364 share no factor with it.
- 4
The digits of 61364 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61364 = 2^{2} \times 23^{2} \times 29 \]61364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 116130 |
| Euler totient φ(n) | 28336 |
| Square | 3765540496 |
| Cube | 231068626996544 |
| Square root | 247.717581 (= 46√29) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.1364 × |
61364 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and sixty-four |
| Binary (base 2) | 1110111110110100 |
| Octal (base 8) | 167664 |
| Hexadecimal (base 16) | EFB4 |
| Base 3 | 10010011202 |
| As time | 61364 seconds = 17 h 2 min 44 s |
Is 61364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61364 ÷ 2 = 30682) | 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 | Yes (61364 ÷ 4 = 15341) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61364 a prime number?
No. 61364 = × × 29, so it is divisible by 2.
What are the factors of 61364?
1, 2, 4, 23, 29, 46, 58, 92, 116, 529, 667, 1058, 1334, 2116, 2668, 15341, 30682, 61364.
What is 61364 in binary?
1110111110110100 (hexadecimal EFB4, octal 167664).
What is the square root of 61364?
About 247.7176, exactly 46√29.
Is 61364 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 61364?
It is a composite number with 18 divisors.