The number 61790
61790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 37 × 167. Divisors (16): 1, 2, 5, 10, 37, 74, 167, 185, 334, 370, 835, 1670, 6179, 12358, 30895, 61790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61790: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61790 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 61790 itself that is 53122, so 61790 is deficient (53122 is less than 61790). Euler's totient φ(61790) = 23904 numbers up to 61790 share no factor with it.
- 4
The digits of 61790 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61790 = 2 \times 5 \times 37 \times 167 \]
61790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 23904 |
| Square | 3818004100 |
| Cube | 235914473339000 |
| Square root | 248.575944 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.179 × |
61790 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and ninety |
| Binary (base 2) | 1111000101011110 |
| Octal (base 8) | 170536 |
| Hexadecimal (base 16) | F15E |
| Base 3 | 10010202112 |
| As time | 61790 seconds = 17 h 9 min 50 s |
Is 61790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61790 ÷ 2 = 30895) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61790 ÷ 5 = 12358) | 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 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61790 ÷ 10 = 6179) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61790 a prime number?
No. 61790 = 2 × 5 × 37 × 167, so it is divisible by 2.
What are the factors of 61790?
1, 2, 5, 10, 37, 74, 167, 185, 334, 370, 835, 1670, 6179, 12358, 30895, 61790.
What is 61790 in binary?
1111000101011110 (hexadecimal F15E, octal 170536).
What is the square root of 61790?
About 248.5759.
Is 61790 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 61790?
61790 is a happy number: repeatedly adding the squares of its digits reaches 1.