The number 73744
73744 is a composite number with 20 divisors. Its prime factorisation is × 11 × 419. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 419, 838, 1676, 3352, 4609, 6704 … 73744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73744: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73744 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 73744 itself that is 82496, so 73744 is abundant (82496 is more than 73744). Euler's totient φ(73744) = 33440 numbers up to 73744 share no factor with it.
- 4
The digits of 73744 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73744 = 2^{4} \times 11 \times 419 \]73744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 33440 |
| Square | 5438177536 |
| Cube | 401032964214784 |
| Square root | 271.558465 (= 4√4609) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.3744 × |
73744 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and forty-four |
| Binary (base 2) | 10010000000010000 |
| Octal (base 8) | 220020 |
| Hexadecimal (base 16) | 12010 |
| Base 3 | 10202011021 |
| As time | 73744 seconds = 20 h 29 min 4 s |
Is 73744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73744 ÷ 2 = 36872) | 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 (73744 ÷ 4 = 18436) | 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 4) | 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 | Yes (73744 ÷ 8 = 9218) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73744 ÷ 11 = 6704) | 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 73744 a prime number?
No. 73744 = × 11 × 419, so it is divisible by 2.
What are the factors of 73744?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 419, 838, 1676, 3352, 4609, 6704, 9218, 18436, 36872, 73744.
What is 73744 in binary?
10010000000010000 (hexadecimal 12010, octal 220020).
What is the square root of 73744?
About 271.5585, exactly 4√4609.
Is 73744 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73744?
73744 is a happy number: repeatedly adding the squares of its digits reaches 1.