The number 21337
21337 is a composite number with 4 divisors. Its prime factorisation is 19 × 1123. Divisors (4): 1, 19, 1123, 21337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21337: a semiprime: 19 × 1123, the product of two primes.
- 2
21337 is composite. Its prime factorisation is
- 3
The divisors add up to 22480; without 21337 itself that is 1143, so 21337 is deficient (1143 is less than 21337). Euler's totient φ(21337) = 20196 numbers up to 21337 share no factor with it.
- 4
The digits of 21337 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21337 = 19 \times 1123 \]
21337 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 22480 |
| Euler totient φ(n) | 20196 |
| Square | 455267569 |
| Cube | 9714044119753 |
| Square root | 146.071900 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1337 × |
21337 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and thirty-seven |
| Binary (base 2) | 101001101011001 |
| Octal (base 8) | 51531 |
| Hexadecimal (base 16) | 5359 |
| Base 3 | 1002021021 |
| As time | 21337 seconds = 5 h 55 min 37 s |
Is 21337 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21337 a prime number?
No. 21337 = 19 × 1123, so it is divisible by 19.
What are the factors of 21337?
1, 19, 1123, 21337.
What is 21337 in binary?
101001101011001 (hexadecimal 5359, octal 51531).
What is the square root of 21337?
About 146.0719.
Is 21337 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 21337?
21337 is a semiprime: 19 × 1123, the product of two primes.