The number 59094
59094 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 67. Divisors (36): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 67, 98, 126, 134 … 59094.
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How to work it out
- 1
What is special about 59094: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59094 is composite. Its prime factorisation is
- 3
The divisors add up to 151164; without 59094 itself that is 92070, so 59094 is abundant (92070 is more than 59094). Euler's totient φ(59094) = 16632 numbers up to 59094 share no factor with it.
- 4
The digits of 59094 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59094 = 2 \times 3^{2} \times 7^{2} \times 67 \]59094 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 151164 |
| Euler totient φ(n) | 16632 |
| Square | 3492100836 |
| Cube | 206362206802584 |
| Square root | 243.092575 (= 21√134) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9094 × |
59094 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and ninety-four |
| Binary (base 2) | 1110011011010110 |
| Octal (base 8) | 163326 |
| Hexadecimal (base 16) | E6D6 |
| Base 3 | 10000001200 |
| As time | 59094 seconds = 16 h 24 min 54 s |
Is 59094 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59094 ÷ 2 = 29547) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59094 ÷ 3 = 19698) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (59094 ÷ 6 = 9849) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (59094 ÷ 7 = 8442) | 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 | Yes (59094 ÷ 9 = 6566) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59094 a prime number?
No. 59094 = 2 × × × 67, so it is divisible by 2.
What are the factors of 59094?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 67, 98, 126, 134, 147, 201, 294, 402, 441, 469, 603, 882, 938, 1206, 1407, 2814, 3283, 4221, 6566, 8442, 9849, 19698, 29547, 59094.
What is 59094 in binary?
1110011011010110 (hexadecimal E6D6, octal 163326).
What is the square root of 59094?
About 243.0926, exactly 21√134.
Is 59094 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59094?
59094 is a happy number: repeatedly adding the squares of its digits reaches 1.