The number 73790
73790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 47 × 157. Divisors (16): 1, 2, 5, 10, 47, 94, 157, 235, 314, 470, 785, 1570, 7379, 14758, 36895, 73790.
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How to work it out
- 1
What is special about 73790: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73790 is composite. Its prime factorisation is
- 3
The divisors add up to 136512; without 73790 itself that is 62722, so 73790 is deficient (62722 is less than 73790). Euler's totient φ(73790) = 28704 numbers up to 73790 share no factor with it.
- 4
The digits of 73790 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73790 = 2 \times 5 \times 47 \times 157 \]
73790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 136512 |
| Euler totient φ(n) | 28704 |
| Square | 5444964100 |
| Cube | 401783900939000 |
| Square root | 271.643148 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.379 × |
73790 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and ninety |
| Binary (base 2) | 10010000000111110 |
| Octal (base 8) | 220076 |
| Hexadecimal (base 16) | 1203E |
| Base 3 | 10202012222 |
| As time | 73790 seconds = 20 h 29 min 50 s |
Is 73790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73790 ÷ 2 = 36895) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (73790 ÷ 5 = 14758) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73790 ÷ 10 = 7379) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73790 a prime number?
No. 73790 = 2 × 5 × 47 × 157, so it is divisible by 2.
What are the factors of 73790?
1, 2, 5, 10, 47, 94, 157, 235, 314, 470, 785, 1570, 7379, 14758, 36895, 73790.
What is 73790 in binary?
10010000000111110 (hexadecimal 1203E, octal 220076).
What is the square root of 73790?
About 271.6431.
Is 73790 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 73790?
73790 is a happy number: repeatedly adding the squares of its digits reaches 1.