The number 21346
21346 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 821. Divisors (8): 1, 2, 13, 26, 821, 1642, 10673, 21346.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21346 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21346 is composite. Its prime factorisation is
- 3
The divisors add up to 34524; without 21346 itself that is 13178, so 21346 is deficient (13178 is less than 21346). Euler's totient φ(21346) = 9840 numbers up to 21346 share no factor with it.
- 4
The digits of 21346 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21346 = 2 \times 13 \times 821 \]
21346 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34524 |
| Euler totient φ(n) | 9840 |
| Square | 455651716 |
| Cube | 9726341529736 |
| Square root | 146.102704 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1346 × |
21346 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and forty-six |
| Binary (base 2) | 101001101100010 |
| Octal (base 8) | 51542 |
| Hexadecimal (base 16) | 5362 |
| Base 3 | 1002021121 |
| As time | 21346 seconds = 5 h 55 min 46 s |
Is 21346 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21346 ÷ 2 = 10673) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21346 a prime number?
No. 21346 = 2 × 13 × 821, so it is divisible by 2.
What are the factors of 21346?
1, 2, 13, 26, 821, 1642, 10673, 21346.
What is 21346 in binary?
101001101100010 (hexadecimal 5362, octal 51542).
What is the square root of 21346?
About 146.1027.
Is 21346 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 21346?
It is a composite number with 8 divisors.