The number 53339
53339 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 373. Divisors (8): 1, 11, 13, 143, 373, 4103, 4849, 53339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53339: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53339 is composite. Its prime factorisation is
- 3
The divisors add up to 62832; without 53339 itself that is 9493, so 53339 is deficient (9493 is less than 53339). Euler's totient φ(53339) = 44640 numbers up to 53339 share no factor with it.
- 4
The digits of 53339 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53339 = 11 \times 13 \times 373 \]
53339 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62832 |
| Euler totient φ(n) | 44640 |
| Square | 2845048921 |
| Cube | 151752064397219 |
| Square root | 230.952376 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.3339 × |
53339 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and thirty-nine |
| Binary (base 2) | 1101000001011011 |
| Octal (base 8) | 150133 |
| Hexadecimal (base 16) | D05B |
| Base 3 | 2201011112 |
| As time | 53339 seconds = 14 h 48 min 59 s |
Is 53339 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 2) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 | Yes (53339 ÷ 11 = 4849) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53339 a prime number?
No. 53339 = 11 × 13 × 373, so it is divisible by 11.
What are the factors of 53339?
1, 11, 13, 143, 373, 4103, 4849, 53339.
What is 53339 in binary?
1101000001011011 (hexadecimal D05B, octal 150133).
What is the square root of 53339?
About 230.9524.
Is 53339 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 53339?
53339 is a happy number: repeatedly adding the squares of its digits reaches 1.