The number 21350
21350 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 61. Divisors (24): 1, 2, 5, 7, 10, 14, 25, 35, 50, 61, 70, 122, 175, 305, 350, 427 … 21350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21350 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21350 is composite. Its prime factorisation is
- 3
The divisors add up to 46128; without 21350 itself that is 24778, so 21350 is abundant (24778 is more than 21350). Euler's totient φ(21350) = 7200 numbers up to 21350 share no factor with it.
- 4
The digits of 21350 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21350 = 2 \times 5^{2} \times 7 \times 61 \]21350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 46128 |
| Euler totient φ(n) | 7200 |
| Square | 455822500 |
| Cube | 9731810375000 |
| Square root | 146.116392 (= 5√854) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.135 × |
21350 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and fifty |
| Binary (base 2) | 101001101100110 |
| Octal (base 8) | 51546 |
| Hexadecimal (base 16) | 5366 |
| Base 3 | 1002021202 |
| As time | 21350 seconds = 5 h 55 min 50 s |
Is 21350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21350 ÷ 2 = 10675) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (21350 ÷ 5 = 4270) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (21350 ÷ 7 = 3050) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (21350 ÷ 10 = 2135) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21350 a prime number?
No. 21350 = 2 × × 7 × 61, so it is divisible by 2.
What are the factors of 21350?
1, 2, 5, 7, 10, 14, 25, 35, 50, 61, 70, 122, 175, 305, 350, 427, 610, 854, 1525, 2135, 3050, 4270, 10675, 21350.
What is 21350 in binary?
101001101100110 (hexadecimal 5366, octal 51546).
What is the square root of 21350?
About 146.1164, exactly 5√854.
Is 21350 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 21350?
It is a composite number with 24 divisors.