The number 21474
21474 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1193. Divisors (12): 1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737, 21474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21474: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
21474 is composite. Its prime factorisation is
- 3
The divisors add up to 46566; without 21474 itself that is 25092, so 21474 is abundant (25092 is more than 21474). Euler's totient φ(21474) = 7152 numbers up to 21474 share no factor with it.
- 4
The digits of 21474 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 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21474 = 2 \times 3^{2} \times 1193 \]21474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 46566 |
| Euler totient φ(n) | 7152 |
| Square | 461132676 |
| Cube | 9902363084424 |
| Square root | 146.540097 (= 3√2386) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.1474 × |
21474 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and seventy-four |
| Binary (base 2) | 101001111100010 |
| Octal (base 8) | 51742 |
| Hexadecimal (base 16) | 53E2 |
| Base 3 | 1002110100 |
| As time | 21474 seconds = 5 h 57 min 54 s |
Is 21474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21474 ÷ 2 = 10737) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21474 ÷ 3 = 7158) | 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 | Yes (21474 ÷ 6 = 3579) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (21474 ÷ 9 = 2386) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21474 a prime number?
No. 21474 = 2 × × 1193, so it is divisible by 2.
What are the factors of 21474?
1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737, 21474.
What is 21474 in binary?
101001111100010 (hexadecimal 53E2, octal 51742).
What is the square root of 21474?
About 146.5401, exactly 3√2386.
Is 21474 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 21474?
21474 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.