The number 53379
53379 is a composite number with 10 divisors. Its prime factorisation is × 659. Divisors (10): 1, 3, 9, 27, 81, 659, 1977, 5931, 17793, 53379.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53379: a Harshad number: divisible by its digit sum 27.
- 2
53379 is composite. Its prime factorisation is
- 3
The divisors add up to 79860; without 53379 itself that is 26481, so 53379 is deficient (26481 is less than 53379). Euler's totient φ(53379) = 35532 numbers up to 53379 share no factor with it.
- 4
The digits of 53379 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53379 = 3^{4} \times 659 \]53379 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 79860 |
| Euler totient φ(n) | 35532 |
| Square | 2849317641 |
| Cube | 152093726358939 |
| Square root | 231.038958 (= 9√659) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.3379 × |
53379 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and seventy-nine |
| Binary (base 2) | 1101000010000011 |
| Octal (base 8) | 150203 |
| Hexadecimal (base 16) | D083 |
| Base 3 | 2201020000 |
| As time | 53379 seconds = 14 h 49 min 39 s |
Is 53379 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 | Yes (53379 ÷ 3 = 17793) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53379 ÷ 9 = 5931) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53379 a prime number?
No. 53379 = × 659, so it is divisible by 3.
What are the factors of 53379?
1, 3, 9, 27, 81, 659, 1977, 5931, 17793, 53379.
What is 53379 in binary?
1101000010000011 (hexadecimal D083, octal 150203).
What is the square root of 53379?
About 231.0390, exactly 9√659.
Is 53379 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53379?
53379 is a Harshad number: divisible by its digit sum 27.