The number 59115
59115 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 7 × 563. Divisors (16): 1, 3, 5, 7, 15, 21, 35, 105, 563, 1689, 2815, 3941, 8445, 11823, 19705, 59115.
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How to work it out
- 1
What is special about 59115: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
59115 is composite. Its prime factorisation is
- 3
The divisors add up to 108288; without 59115 itself that is 49173, so 59115 is deficient (49173 is less than 59115). Euler's totient φ(59115) = 26976 numbers up to 59115 share no factor with it.
- 4
The digits of 59115 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59115 = 3 \times 5 \times 7 \times 563 \]
59115 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 108288 |
| Euler totient φ(n) | 26976 |
| Square | 3494583225 |
| Cube | 206582287345875 |
| Square root | 243.135765 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.9115 × |
59115 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and fifteen |
| Binary (base 2) | 1110011011101011 |
| Octal (base 8) | 163353 |
| Hexadecimal (base 16) | E6EB |
| Base 3 | 10000002110 |
| As time | 59115 seconds = 16 h 25 min 15 s |
Is 59115 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 (59115 ÷ 3 = 19705) | 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 (59115 ÷ 5 = 11823) | 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 | Yes (59115 ÷ 7 = 8445) | 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 | No (remainder 3) | 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 1) | 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 59115 a prime number?
No. 59115 = 3 × 5 × 7 × 563, so it is divisible by 3.
What are the factors of 59115?
1, 3, 5, 7, 15, 21, 35, 105, 563, 1689, 2815, 3941, 8445, 11823, 19705, 59115.
What is 59115 in binary?
1110011011101011 (hexadecimal E6EB, octal 163353).
What is the square root of 59115?
About 243.1358.
Is 59115 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 59115?
59115 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.