The number 61348
61348 is a composite number with 18 divisors. Its prime factorisation is × × 313. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 313, 626, 1252, 2191, 4382, 8764, 15337 … 61348.
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How to work it out
- 1
61348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61348 is composite. Its prime factorisation is
- 3
The divisors add up to 125286; without 61348 itself that is 63938, so 61348 is abundant (63938 is more than 61348). Euler's totient φ(61348) = 26208 numbers up to 61348 share no factor with it.
- 4
The digits of 61348 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 241 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61348 = 2^{2} \times 7^{2} \times 313 \]61348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 125286 |
| Euler totient φ(n) | 26208 |
| Square | 3763577104 |
| Cube | 230887928176192 |
| Square root | 247.685284 (= 14√313) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 241 |
| Scientific notation | 6.1348 × |
61348 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and forty-eight |
| Binary (base 2) | 1110111110100100 |
| Octal (base 8) | 167644 |
| Hexadecimal (base 16) | EFA4 |
| Base 3 | 10010011011 |
| As time | 61348 seconds = 17 h 2 min 28 s |
Is 61348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61348 ÷ 2 = 30674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61348 ÷ 4 = 15337) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61348 ÷ 7 = 8764) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61348 a prime number?
No. 61348 = × × 313, so it is divisible by 2.
What are the factors of 61348?
1, 2, 4, 7, 14, 28, 49, 98, 196, 313, 626, 1252, 2191, 4382, 8764, 15337, 30674, 61348.
What is 61348 in binary?
1110111110100100 (hexadecimal EFA4, octal 167644).
What is the square root of 61348?
About 247.6853, exactly 14√313.
Is 61348 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 61348?
It is a composite number with 18 divisors.