The number 32998
32998 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 2357. Divisors (8): 1, 2, 7, 14, 2357, 4714, 16499, 32998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32998: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32998 is composite. Its prime factorisation is
- 3
The divisors add up to 56592; without 32998 itself that is 23594, so 32998 is deficient (23594 is less than 32998). Euler's totient φ(32998) = 14136 numbers up to 32998 share no factor with it.
- 4
The digits of 32998 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32998 = 2 \times 7 \times 2357 \]
32998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 56592 |
| Euler totient φ(n) | 14136 |
| Square | 1088868004 |
| Cube | 35930466395992 |
| Square root | 181.653516 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2998 × |
32998 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and ninety-eight |
| Binary (base 2) | 1000000011100110 |
| Octal (base 8) | 100346 |
| Hexadecimal (base 16) | 80E6 |
| Base 3 | 1200021011 |
| As time | 32998 seconds = 9 h 9 min 58 s |
Is 32998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32998 ÷ 2 = 16499) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32998 ÷ 7 = 4714) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32998 a prime number?
No. 32998 = 2 × 7 × 2357, so it is divisible by 2.
What are the factors of 32998?
1, 2, 7, 14, 2357, 4714, 16499, 32998.
What is 32998 in binary?
1000000011100110 (hexadecimal 80E6, octal 100346).
What is the square root of 32998?
About 181.6535.
Is 32998 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 32998?
32998 is a happy number: repeatedly adding the squares of its digits reaches 1.