The number 80740
80740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 367. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 367, 734, 1468, 1835 … 80740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80740: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80740 is composite. Its prime factorisation is
- 3
The divisors add up to 185472; without 80740 itself that is 104732, so 80740 is abundant (104732 is more than 80740). Euler's totient φ(80740) = 29280 numbers up to 80740 share no factor with it.
- 4
The digits of 80740 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80740 = 2^{2} \times 5 \times 11 \times 367 \]80740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 185472 |
| Euler totient φ(n) | 29280 |
| Square | 6518947600 |
| Cube | 526339829224000 |
| Square root | 284.147849 (= 2√20185) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.074 × |
80740 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and forty |
| Binary (base 2) | 10011101101100100 |
| Octal (base 8) | 235544 |
| Hexadecimal (base 16) | 13B64 |
| Base 3 | 11002202101 |
| As time | 80740 seconds = 22 h 25 min 40 s |
Is 80740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80740 ÷ 2 = 40370) | 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 (80740 ÷ 4 = 20185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80740 ÷ 5 = 16148) | 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 2) | 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 (80740 ÷ 10 = 8074) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80740 ÷ 11 = 7340) | 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 80740 a prime number?
No. 80740 = × 5 × 11 × 367, so it is divisible by 2.
What are the factors of 80740?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 367, 734, 1468, 1835, 3670, 4037, 7340, 8074, 16148, 20185, 40370, 80740.
What is 80740 in binary?
10011101101100100 (hexadecimal 13B64, octal 235544).
What is the square root of 80740?
About 284.1478, exactly 2√20185.
Is 80740 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80740?
80740 is a happy number: repeatedly adding the squares of its digits reaches 1.