The number 61155
61155 is a composite number with 20 divisors. Its prime factorisation is × 5 × 151. Divisors (20): 1, 3, 5, 9, 15, 27, 45, 81, 135, 151, 405, 453, 755, 1359, 2265, 4077 … 61155.
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How to work it out
- 1
61155 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61155 is composite. Its prime factorisation is
- 3
The divisors add up to 110352; without 61155 itself that is 49197, so 61155 is deficient (49197 is less than 61155). Euler's totient φ(61155) = 32400 numbers up to 61155 share no factor with it.
- 4
The digits of 61155 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61155 = 3^{4} \times 5 \times 151 \]61155 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 110352 |
| Euler totient φ(n) | 32400 |
| Square | 3739934025 |
| Cube | 228715665298875 |
| Square root | 247.295370 (= 9√755) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1155 × |
61155 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and fifty-five |
| Binary (base 2) | 1110111011100011 |
| Octal (base 8) | 167343 |
| Hexadecimal (base 16) | EEE3 |
| Base 3 | 10002220000 |
| As time | 61155 seconds = 16 h 59 min 15 s |
Is 61155 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 (61155 ÷ 3 = 20385) | 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 | Yes (61155 ÷ 5 = 12231) | 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 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 | Yes (61155 ÷ 9 = 6795) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61155 a prime number?
No. 61155 = × 5 × 151, so it is divisible by 3.
What are the factors of 61155?
1, 3, 5, 9, 15, 27, 45, 81, 135, 151, 405, 453, 755, 1359, 2265, 4077, 6795, 12231, 20385, 61155.
What is 61155 in binary?
1110111011100011 (hexadecimal EEE3, octal 167343).
What is the square root of 61155?
About 247.2954, exactly 9√755.
Is 61155 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61155?
It is a composite number with 20 divisors.