The number 53389
53389 is a composite number with 8 divisors. Its prime factorisation is 7 × 29 × 263. Divisors (8): 1, 7, 29, 203, 263, 1841, 7627, 53389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53389: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53389 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 53389 itself that is 9971, so 53389 is deficient (9971 is less than 53389). Euler's totient φ(53389) = 44016 numbers up to 53389 share no factor with it.
- 4
The digits of 53389 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53389 = 7 \times 29 \times 263 \]
53389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 44016 |
| Square | 2850385321 |
| Cube | 152179221902869 |
| Square root | 231.060598 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.3389 × |
53389 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and eighty-nine |
| Binary (base 2) | 1101000010001101 |
| Octal (base 8) | 150215 |
| Hexadecimal (base 16) | D08D |
| Base 3 | 2201020101 |
| As time | 53389 seconds = 14 h 49 min 49 s |
Is 53389 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53389 ÷ 7 = 7627) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53389 a prime number?
No. 53389 = 7 × 29 × 263, so it is divisible by 7.
What are the factors of 53389?
1, 7, 29, 203, 263, 1841, 7627, 53389.
What is 53389 in binary?
1101000010001101 (hexadecimal D08D, octal 150215).
What is the square root of 53389?
About 231.0606.
Is 53389 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 53389?
53389 is a happy number: repeatedly adding the squares of its digits reaches 1.