The number 8740
8740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 23. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230 … 8740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8740: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
8740 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 8740 itself that is 11420, so 8740 is abundant (11420 is more than 8740). Euler's totient φ(8740) = 3168 numbers up to 8740 share no factor with it.
- 4
The digits of 8740 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8740 = 2^{2} \times 5 \times 19 \times 23 \]8740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 3168 |
| Square | 76387600 |
| Cube | 667627624000 |
| Square root | 93.487967 (= 2√2185) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 109 |
| Scientific notation | 8.74 × |
8740 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and forty |
| Binary (base 2) | 10001000100100 |
| Octal (base 8) | 21044 |
| Hexadecimal (base 16) | 2224 |
| Base 3 | 102222201 |
| As time | 8740 seconds = 2 h 25 min 40 s |
Is 8740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8740 ÷ 2 = 4370) | 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 | Yes (8740 ÷ 4 = 2185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8740 ÷ 5 = 1748) | 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 | No (remainder 4) | 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 4) | 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 | Yes (8740 ÷ 10 = 874) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8740 a prime number?
No. 8740 = × 5 × 19 × 23, so it is divisible by 2.
What are the factors of 8740?
1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740.
What is 8740 in binary?
10001000100100 (hexadecimal 2224, octal 21044).
What is the square root of 8740?
About 93.4880, exactly 2√2185.
Is 8740 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8740?
8740 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.