The number 59364
59364 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 97. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 97, 102, 153 … 59364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59364: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59364 is composite. Its prime factorisation is
- 3
The divisors add up to 160524; without 59364 itself that is 101160, so 59364 is abundant (101160 is more than 59364). Euler's totient φ(59364) = 18432 numbers up to 59364 share no factor with it.
- 4
The digits of 59364 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59364 = 2^{2} \times 3^{2} \times 17 \times 97 \]59364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 160524 |
| Euler totient φ(n) | 18432 |
| Square | 3524084496 |
| Cube | 209203752020544 |
| Square root | 243.647286 (= 6√1649) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.9364 × |
59364 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand three hundred and sixty-four |
| Binary (base 2) | 1110011111100100 |
| Octal (base 8) | 163744 |
| Hexadecimal (base 16) | E7E4 |
| Base 3 | 10000102200 |
| As time | 59364 seconds = 16 h 29 min 24 s |
Is 59364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59364 ÷ 2 = 29682) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59364 ÷ 3 = 19788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59364 ÷ 4 = 14841) | 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 (59364 ÷ 6 = 9894) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59364 ÷ 9 = 6596) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59364 ÷ 12 = 4947) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59364 a prime number?
No. 59364 = × × 17 × 97, so it is divisible by 2.
What are the factors of 59364?
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 97, 102, 153, 194, 204, 291, 306, 388, 582, 612, 873, 1164, 1649, 1746, 3298, 3492, 4947, 6596, 9894, 14841, 19788, 29682, 59364.
What is 59364 in binary?
1110011111100100 (hexadecimal E7E4, octal 163744).
What is the square root of 59364?
About 243.6473, exactly 6√1649.
Is 59364 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59364?
59364 is a happy number: repeatedly adding the squares of its digits reaches 1.