The number 21607
21607 is a composite number with 8 divisors. Its prime factorisation is 17 × 31 × 41. Divisors (8): 1, 17, 31, 41, 527, 697, 1271, 21607.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21607 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21607 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 21607 itself that is 2585, so 21607 is deficient (2585 is less than 21607). Euler's totient φ(21607) = 19200 numbers up to 21607 share no factor with it.
- 4
The digits of 21607 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21607 = 17 \times 31 \times 41 \]
21607 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 19200 |
| Square | 466862449 |
| Cube | 10087496935543 |
| Square root | 146.993197 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.1607 × |
21607 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand six hundred and seven |
| Binary (base 2) | 101010001100111 |
| Octal (base 8) | 52147 |
| Hexadecimal (base 16) | 5467 |
| Base 3 | 1002122021 |
| As time | 21607 seconds = 6 h 0 min 7 s |
Is 21607 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 3) | 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 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 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21607 a prime number?
No. 21607 = 17 × 31 × 41, so it is divisible by 17.
What are the factors of 21607?
1, 17, 31, 41, 527, 697, 1271, 21607.
What is 21607 in binary?
101010001100111 (hexadecimal 5467, octal 52147).
What is the square root of 21607?
About 146.9932.
Is 21607 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 21607?
It is a composite number with 8 divisors.