The number 53604
53604 is a composite number with 18 divisors. Its prime factorisation is × × 1489. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1489, 2978, 4467, 5956, 8934, 13401, 17868 … 53604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53604: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
53604 is composite. Its prime factorisation is
- 3
The divisors add up to 135590; without 53604 itself that is 81986, so 53604 is abundant (81986 is more than 53604). Euler's totient φ(53604) = 17856 numbers up to 53604 share no factor with it.
- 4
The digits of 53604 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53604 = 2^{2} \times 3^{2} \times 1489 \]53604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 135590 |
| Euler totient φ(n) | 17856 |
| Square | 2873388816 |
| Cube | 154025134092864 |
| Square root | 231.525377 (= 6√1489) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.3604 × |
53604 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand six hundred and four |
| Binary (base 2) | 1101000101100100 |
| Octal (base 8) | 150544 |
| Hexadecimal (base 16) | D164 |
| Base 3 | 2201112100 |
| As time | 53604 seconds = 14 h 53 min 24 s |
Is 53604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53604 ÷ 2 = 26802) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53604 ÷ 3 = 17868) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53604 ÷ 4 = 13401) | 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 (53604 ÷ 6 = 8934) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (53604 ÷ 9 = 5956) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53604 ÷ 12 = 4467) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53604 a prime number?
No. 53604 = × × 1489, so it is divisible by 2.
What are the factors of 53604?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1489, 2978, 4467, 5956, 8934, 13401, 17868, 26802, 53604.
What is 53604 in binary?
1101000101100100 (hexadecimal D164, octal 150544).
What is the square root of 53604?
About 231.5254, exactly 6√1489.
Is 53604 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53604?
53604 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.