The number 21476
21476 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 59. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 59, 91, 118, 182, 236, 364, 413 … 21476.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21476 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21476 is composite. Its prime factorisation is
- 3
The divisors add up to 47040; without 21476 itself that is 25564, so 21476 is abundant (25564 is more than 21476). Euler's totient φ(21476) = 8352 numbers up to 21476 share no factor with it.
- 4
The digits of 21476 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21476 = 2^{2} \times 7 \times 13 \times 59 \]21476 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 47040 |
| Euler totient φ(n) | 8352 |
| Square | 461218576 |
| Cube | 9905130138176 |
| Square root | 146.546921 (= 2√5369) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.1476 × |
21476 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and seventy-six |
| Binary (base 2) | 101001111100100 |
| Octal (base 8) | 51744 |
| Hexadecimal (base 16) | 53E4 |
| Base 3 | 1002110102 |
| As time | 21476 seconds = 5 h 57 min 56 s |
Is 21476 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21476 ÷ 2 = 10738) | 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 | Yes (21476 ÷ 4 = 5369) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (21476 ÷ 7 = 3068) | 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 4) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21476 a prime number?
No. 21476 = × 7 × 13 × 59, so it is divisible by 2.
What are the factors of 21476?
1, 2, 4, 7, 13, 14, 26, 28, 52, 59, 91, 118, 182, 236, 364, 413, 767, 826, 1534, 1652, 3068, 5369, 10738, 21476.
What is 21476 in binary?
101001111100100 (hexadecimal 53E4, octal 51744).
What is the square root of 21476?
About 146.5469, exactly 2√5369.
Is 21476 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 21476?
It is a composite number with 24 divisors.