The number 61080
61080 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 509. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 61080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61080: a Harshad number: divisible by its digit sum 15.
- 2
61080 is composite. Its prime factorisation is
- 3
The divisors add up to 183600; without 61080 itself that is 122520, so 61080 is abundant (122520 is more than 61080). Euler's totient φ(61080) = 16256 numbers up to 61080 share no factor with it.
- 4
The digits of 61080 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61080 = 2^{3} \times 3 \times 5 \times 509 \]61080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 183600 |
| Euler totient φ(n) | 16256 |
| Square | 3730766400 |
| Cube | 227875211712000 |
| Square root | 247.143683 (= 2√15270) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.108 × |
61080 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and eighty |
| Binary (base 2) | 1110111010011000 |
| Octal (base 8) | 167230 |
| Hexadecimal (base 16) | EE98 |
| Base 3 | 10002210020 |
| As time | 61080 seconds = 16 h 58 min 0 s |
Is 61080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61080 ÷ 2 = 30540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61080 ÷ 3 = 20360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61080 ÷ 4 = 15270) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61080 ÷ 5 = 12216) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61080 ÷ 6 = 10180) | 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 | Yes (61080 ÷ 8 = 7635) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61080 ÷ 10 = 6108) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61080 ÷ 12 = 5090) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61080 a prime number?
No. 61080 = × 3 × 5 × 509, so it is divisible by 2.
What are the factors of 61080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 509, 1018, 1527, 2036, 2545, 3054, 4072, 5090, 6108, 7635, 10180, 12216, 15270, 20360, 30540, 61080.
What is 61080 in binary?
1110111010011000 (hexadecimal EE98, octal 167230).
What is the square root of 61080?
About 247.1437, exactly 2√15270.
Is 61080 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 61080?
61080 is a Harshad number: divisible by its digit sum 15.