The number 21610
21610 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 2161. Divisors (8): 1, 2, 5, 10, 2161, 4322, 10805, 21610.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21610: a Harshad number: divisible by its digit sum 10.
- 2
21610 is composite. Its prime factorisation is
- 3
The divisors add up to 38916; without 21610 itself that is 17306, so 21610 is deficient (17306 is less than 21610). Euler's totient φ(21610) = 8640 numbers up to 21610 share no factor with it.
- 4
The digits of 21610 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21610 = 2 \times 5 \times 2161 \]
21610 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38916 |
| Euler totient φ(n) | 8640 |
| Square | 466992100 |
| Cube | 10091699281000 |
| Square root | 147.003401 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.161 × |
21610 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand six hundred and ten |
| Binary (base 2) | 101010001101010 |
| Octal (base 8) | 52152 |
| Hexadecimal (base 16) | 546A |
| Base 3 | 1002122101 |
| As time | 21610 seconds = 6 h 0 min 10 s |
Is 21610 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21610 ÷ 2 = 10805) | 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 | Yes (21610 ÷ 5 = 4322) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (21610 ÷ 10 = 2161) | 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 21610 a prime number?
No. 21610 = 2 × 5 × 2161, so it is divisible by 2.
What are the factors of 21610?
1, 2, 5, 10, 2161, 4322, 10805, 21610.
What is 21610 in binary?
101010001101010 (hexadecimal 546A, octal 52152).
What is the square root of 21610?
About 147.0034.
Is 21610 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 21610?
21610 is a Harshad number: divisible by its digit sum 10.