The number 59109
59109 is a composite number with 16 divisors. Its prime factorisation is 3 × 17 × 19 × 61. Divisors (16): 1, 3, 17, 19, 51, 57, 61, 183, 323, 969, 1037, 1159, 3111, 3477, 19703, 59109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59109: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59109 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 59109 itself that is 30171, so 59109 is deficient (30171 is less than 59109). Euler's totient φ(59109) = 34560 numbers up to 59109 share no factor with it.
- 4
The digits of 59109 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59109 = 3 \times 17 \times 19 \times 61 \]
59109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 34560 |
| Square | 3493873881 |
| Cube | 206519391232029 |
| Square root | 243.123425 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9109 × |
59109 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and nine |
| Binary (base 2) | 1110011011100101 |
| Octal (base 8) | 163345 |
| Hexadecimal (base 16) | E6E5 |
| Base 3 | 10000002020 |
| As time | 59109 seconds = 16 h 25 min 9 s |
Is 59109 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 (59109 ÷ 3 = 19703) | 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 4) | 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 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 5) | 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 | No (remainder 9) | 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 59109 a prime number?
No. 59109 = 3 × 17 × 19 × 61, so it is divisible by 3.
What are the factors of 59109?
1, 3, 17, 19, 51, 57, 61, 183, 323, 969, 1037, 1159, 3111, 3477, 19703, 59109.
What is 59109 in binary?
1110011011100101 (hexadecimal E6E5, octal 163345).
What is the square root of 59109?
About 243.1234.
Is 59109 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 59109?
59109 is a happy number: repeatedly adding the squares of its digits reaches 1.