The number 61353
61353 is a composite number with 12 divisors. Its prime factorisation is × 17 × 401. Divisors (12): 1, 3, 9, 17, 51, 153, 401, 1203, 3609, 6817, 20451, 61353.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61353 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61353 is composite. Its prime factorisation is
- 3
The divisors add up to 94068; without 61353 itself that is 32715, so 61353 is deficient (32715 is less than 61353). Euler's totient φ(61353) = 38400 numbers up to 61353 share no factor with it.
- 4
The digits of 61353 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61353 = 3^{2} \times 17 \times 401 \]61353 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94068 |
| Euler totient φ(n) | 38400 |
| Square | 3764190609 |
| Cube | 230944386433977 |
| Square root | 247.695377 (= 3√6817) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1353 × |
61353 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and fifty-three |
| Binary (base 2) | 1110111110101001 |
| Octal (base 8) | 167651 |
| Hexadecimal (base 16) | EFA9 |
| Base 3 | 10010011100 |
| As time | 61353 seconds = 17 h 2 min 33 s |
Is 61353 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 | Yes (61353 ÷ 3 = 20451) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | Yes (61353 ÷ 9 = 6817) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61353 a prime number?
No. 61353 = × 17 × 401, so it is divisible by 3.
What are the factors of 61353?
1, 3, 9, 17, 51, 153, 401, 1203, 3609, 6817, 20451, 61353.
What is 61353 in binary?
1110111110101001 (hexadecimal EFA9, octal 167651).
What is the square root of 61353?
About 247.6954, exactly 3√6817.
Is 61353 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61353?
It is a composite number with 12 divisors.