The number 890
890 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 89. Divisors (8): 1, 2, 5, 10, 89, 178, 445, 890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
890 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
890 is composite. Its prime factorisation is
- 3
The divisors add up to 1620; without 890 itself that is 730, so 890 is deficient (730 is less than 890). Euler's totient φ(890) = 352 numbers up to 890 share no factor with it.
- 4
The digits of 890 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 890 = 2 \times 5 \times 89 \]
890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1620 |
| Euler totient φ(n) | 352 |
| Square | 792100 |
| Cube | 704969000 |
| Square root | 29.832868 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 72 |
| Scientific notation | 8.9 × |
890 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and ninety |
| Roman numerals | DCCCXC |
| Binary (base 2) | 1101111010 |
| Octal (base 8) | 1572 |
| Hexadecimal (base 16) | 37A |
| Base 3 | 1012222 |
| As time | 890 seconds = 14 min 50 s |
Is 890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (890 ÷ 2 = 445) | 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 | Yes (890 ÷ 5 = 178) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (890 ÷ 10 = 89) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 890 a prime number?
No. 890 = 2 × 5 × 89, so it is divisible by 2.
What are the factors of 890?
1, 2, 5, 10, 89, 178, 445, 890.
What is 890 in binary?
1101111010 (hexadecimal 37A, octal 1572).
What is the square root of 890?
About 29.8329.
What is 890 in Roman numerals?
DCCCXC.
Is 890 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 890?
It is a composite number with 8 divisors.