The number 8749
8749 is a composite number with 4 divisors. Its prime factorisation is 13 × 673. Divisors (4): 1, 13, 673, 8749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8749: a semiprime: 13 × 673, the product of two primes.
- 2
8749 is composite. Its prime factorisation is
- 3
The divisors add up to 9436; without 8749 itself that is 687, so 8749 is deficient (687 is less than 8749). Euler's totient φ(8749) = 8064 numbers up to 8749 share no factor with it.
- 4
The digits of 8749 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8749 = 13 \times 673 \]
8749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9436 |
| Euler totient φ(n) | 8064 |
| Square | 76545001 |
| Cube | 669692213749 |
| Square root | 93.536089 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.749 × |
8749 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and forty-nine |
| Binary (base 2) | 10001000101101 |
| Octal (base 8) | 21055 |
| Hexadecimal (base 16) | 222D |
| Base 3 | 110000001 |
| As time | 8749 seconds = 2 h 25 min 49 s |
Is 8749 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 4) | 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 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8749 a prime number?
No. 8749 = 13 × 673, so it is divisible by 13.
What are the factors of 8749?
1, 13, 673, 8749.
What is 8749 in binary?
10001000101101 (hexadecimal 222D, octal 21055).
What is the square root of 8749?
About 93.5361.
Is 8749 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 8749?
8749 is a semiprime: 13 × 673, the product of two primes.