The number 80748
80748 is a composite number with 18 divisors. Its prime factorisation is × × 2243. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2243, 4486, 6729, 8972, 13458, 20187, 26916 … 80748.
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How to work it out
- 1
What is special about 80748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80748 is composite. Its prime factorisation is
- 3
The divisors add up to 204204; without 80748 itself that is 123456, so 80748 is abundant (123456 is more than 80748). Euler's totient φ(80748) = 26904 numbers up to 80748 share no factor with it.
- 4
The digits of 80748 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80748 = 2^{2} \times 3^{2} \times 2243 \]80748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 204204 |
| Euler totient φ(n) | 26904 |
| Square | 6520239504 |
| Cube | 526496299468992 |
| Square root | 284.161926 (= 6√2243) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0748 × |
80748 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and forty-eight |
| Binary (base 2) | 10011101101101100 |
| Octal (base 8) | 235554 |
| Hexadecimal (base 16) | 13B6C |
| Base 3 | 11002202200 |
| As time | 80748 seconds = 22 h 25 min 48 s |
Is 80748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80748 ÷ 2 = 40374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80748 ÷ 3 = 26916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80748 ÷ 4 = 20187) | 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 | Yes (80748 ÷ 6 = 13458) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (80748 ÷ 9 = 8972) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80748 ÷ 12 = 6729) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80748 a prime number?
No. 80748 = × × 2243, so it is divisible by 2.
What are the factors of 80748?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2243, 4486, 6729, 8972, 13458, 20187, 26916, 40374, 80748.
What is 80748 in binary?
10011101101101100 (hexadecimal 13B6C, octal 235554).
What is the square root of 80748?
About 284.1619, exactly 6√2243.
Is 80748 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80748?
80748 is a happy number: repeatedly adding the squares of its digits reaches 1.