The number 93748
93748 is a composite number with 12 divisors. Its prime factorisation is × 23 × 1019. Divisors (12): 1, 2, 4, 23, 46, 92, 1019, 2038, 4076, 23437, 46874, 93748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 93748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
93748 is composite. Its prime factorisation is
- 3
The divisors add up to 171360; without 93748 itself that is 77612, so 93748 is deficient (77612 is less than 93748). Euler's totient φ(93748) = 44792 numbers up to 93748 share no factor with it.
- 4
The digits of 93748 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 93748 = 2^{2} \times 23 \times 1019 \]93748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 171360 |
| Euler totient φ(n) | 44792 |
| Square | 8788687504 |
| Cube | 823921876124992 |
| Square root | 306.182952 (= 2√23437) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 102 |
| Scientific notation | 9.3748 × |
93748 in other forms
| Form | Value |
|---|---|
| In words | ninety-three thousand seven hundred and forty-eight |
| Binary (base 2) | 10110111000110100 |
| Octal (base 8) | 267064 |
| Hexadecimal (base 16) | 16E34 |
| Base 3 | 11202121011 |
| As time | 93748 seconds = 26 h 2 min 28 s |
Is 93748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (93748 ÷ 2 = 46874) | 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 (93748 ÷ 4 = 23437) | 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 | 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 4) | 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 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 93748 a prime number?
No. 93748 = × 23 × 1019, so it is divisible by 2.
What are the factors of 93748?
1, 2, 4, 23, 46, 92, 1019, 2038, 4076, 23437, 46874, 93748.
What is 93748 in binary?
10110111000110100 (hexadecimal 16E34, octal 267064).
What is the square root of 93748?
About 306.1830, exactly 2√23437.
Is 93748 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 93748?
93748 is a happy number: repeatedly adding the squares of its digits reaches 1.