The number 99748
99748 is a composite number with 12 divisors. Its prime factorisation is × 11 × 2267. Divisors (12): 1, 2, 4, 11, 22, 44, 2267, 4534, 9068, 24937, 49874, 99748.
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How to work it out
- 1
What is special about 99748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
99748 is composite. Its prime factorisation is
- 3
The divisors add up to 190512; without 99748 itself that is 90764, so 99748 is deficient (90764 is less than 99748). Euler's totient φ(99748) = 45320 numbers up to 99748 share no factor with it.
- 4
The digits of 99748 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 99748 = 2^{2} \times 11 \times 2267 \]99748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 190512 |
| Euler totient φ(n) | 45320 |
| Square | 9949663504 |
| Cube | 992459035196992 |
| Square root | 315.829068 (= 2√24937) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.9748 × |
99748 in other forms
| Form | Value |
|---|---|
| In words | ninety-nine thousand seven hundred and forty-eight |
| Binary (base 2) | 11000010110100100 |
| Octal (base 8) | 302644 |
| Hexadecimal (base 16) | 185A4 |
| Base 3 | 12001211101 |
| As time | 99748 seconds = 27 h 42 min 28 s |
Is 99748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (99748 ÷ 2 = 49874) | 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 (99748 ÷ 4 = 24937) | 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 5) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (99748 ÷ 11 = 9068) | 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 99748 a prime number?
No. 99748 = × 11 × 2267, so it is divisible by 2.
What are the factors of 99748?
1, 2, 4, 11, 22, 44, 2267, 4534, 9068, 24937, 49874, 99748.
What is 99748 in binary?
11000010110100100 (hexadecimal 185A4, octal 302644).
What is the square root of 99748?
About 315.8291, exactly 2√24937.
Is 99748 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 99748?
99748 is a happy number: repeatedly adding the squares of its digits reaches 1.