The number 21348
21348 is a composite number with 18 divisors. Its prime factorisation is × × 593. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 593, 1186, 1779, 2372, 3558, 5337, 7116 … 21348.
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How to work it out
- 1
What is special about 21348: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
21348 is composite. Its prime factorisation is
- 3
The divisors add up to 54054; without 21348 itself that is 32706, so 21348 is abundant (32706 is more than 21348). Euler's totient φ(21348) = 7104 numbers up to 21348 share no factor with it.
- 4
The digits of 21348 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21348 = 2^{2} \times 3^{2} \times 593 \]21348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 54054 |
| Euler totient φ(n) | 7104 |
| Square | 455737104 |
| Cube | 9729075696192 |
| Square root | 146.109548 (= 6√593) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1348 × |
21348 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and forty-eight |
| Binary (base 2) | 101001101100100 |
| Octal (base 8) | 51544 |
| Hexadecimal (base 16) | 5364 |
| Base 3 | 1002021200 |
| As time | 21348 seconds = 5 h 55 min 48 s |
Is 21348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21348 ÷ 2 = 10674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21348 ÷ 3 = 7116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21348 ÷ 4 = 5337) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (21348 ÷ 6 = 3558) | 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 (21348 ÷ 9 = 2372) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (21348 ÷ 12 = 1779) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21348 a prime number?
No. 21348 = × × 593, so it is divisible by 2.
What are the factors of 21348?
1, 2, 3, 4, 6, 9, 12, 18, 36, 593, 1186, 1779, 2372, 3558, 5337, 7116, 10674, 21348.
What is 21348 in binary?
101001101100100 (hexadecimal 5364, octal 51544).
What is the square root of 21348?
About 146.1095, exactly 6√593.
Is 21348 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 21348?
21348 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.