The number 53340
53340 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 7 × 127. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 53340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53340: a Harshad number: divisible by its digit sum 15.
- 2
53340 is composite. Its prime factorisation is
- 3
The divisors add up to 172032; without 53340 itself that is 118692, so 53340 is abundant (118692 is more than 53340). Euler's totient φ(53340) = 12096 numbers up to 53340 share no factor with it.
- 4
The digits of 53340 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53340 = 2^{2} \times 3 \times 5 \times 7 \times 127 \]53340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 172032 |
| Euler totient φ(n) | 12096 |
| Square | 2845155600 |
| Cube | 151760599704000 |
| Square root | 230.954541 (= 2√13335) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.334 × |
53340 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and forty |
| Binary (base 2) | 1101000001011100 |
| Octal (base 8) | 150134 |
| Hexadecimal (base 16) | D05C |
| Base 3 | 2201011120 |
| As time | 53340 seconds = 14 h 49 min 0 s |
Is 53340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53340 ÷ 2 = 26670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53340 ÷ 3 = 17780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53340 ÷ 4 = 13335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53340 ÷ 5 = 10668) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53340 ÷ 6 = 8890) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53340 ÷ 7 = 7620) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53340 ÷ 10 = 5334) | 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 (53340 ÷ 12 = 4445) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53340 a prime number?
No. 53340 = × 3 × 5 × 7 × 127, so it is divisible by 2.
What are the factors of 53340?
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 127, 140, 210, 254, 381, 420, 508, 635, 762, 889, 1270, 1524, 1778, 1905, 2540, 2667, 3556, 3810, 4445, 5334, 7620, 8890, 10668, 13335, 17780, 26670, 53340.
What is 53340 in binary?
1101000001011100 (hexadecimal D05C, octal 150134).
What is the square root of 53340?
About 230.9545, exactly 2√13335.
Is 53340 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 53340?
53340 is a Harshad number: divisible by its digit sum 15.