The number 21074
21074 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 257. Divisors (8): 1, 2, 41, 82, 257, 514, 10537, 21074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21074: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
21074 is composite. Its prime factorisation is
- 3
The divisors add up to 32508; without 21074 itself that is 11434, so 21074 is deficient (11434 is less than 21074). Euler's totient φ(21074) = 10240 numbers up to 21074 share no factor with it.
- 4
The digits of 21074 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21074 = 2 \times 41 \times 257 \]
21074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32508 |
| Euler totient φ(n) | 10240 |
| Square | 444113476 |
| Cube | 9359247393224 |
| Square root | 145.168867 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 79 |
| Scientific notation | 2.1074 × |
21074 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand and seventy-four |
| Binary (base 2) | 101001001010010 |
| Octal (base 8) | 51122 |
| Hexadecimal (base 16) | 5252 |
| Base 3 | 1001220112 |
| As time | 21074 seconds = 5 h 51 min 14 s |
Is 21074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21074 ÷ 2 = 10537) | 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 | No (remainder 4) | 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 | No (remainder 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 21074 a prime number?
No. 21074 = 2 × 41 × 257, so it is divisible by 2.
What are the factors of 21074?
1, 2, 41, 82, 257, 514, 10537, 21074.
What is 21074 in binary?
101001001010010 (hexadecimal 5252, octal 51122).
What is the square root of 21074?
About 145.1689.
Is 21074 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 21074?
21074 is a happy number: repeatedly adding the squares of its digits reaches 1.