The number 98332
98332 is a composite number with 24 divisors. Its prime factorisation is × 13 × 31 × 61. Divisors (24): 1, 2, 4, 13, 26, 31, 52, 61, 62, 122, 124, 244, 403, 793, 806, 1586 … 98332.
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How to work it out
- 1
What is special about 98332: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
98332 is composite. Its prime factorisation is
- 3
The divisors add up to 194432; without 98332 itself that is 96100, so 98332 is deficient (96100 is less than 98332). Euler's totient φ(98332) = 43200 numbers up to 98332 share no factor with it.
- 4
The digits of 98332 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98332 = 2^{2} \times 13 \times 31 \times 61 \]98332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 194432 |
| Euler totient φ(n) | 43200 |
| Square | 9669182224 |
| Cube | 950790026450368 |
| Square root | 313.579336 (= 2√24583) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.8332 × |
98332 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand three hundred and thirty-two |
| Binary (base 2) | 11000000000011100 |
| Octal (base 8) | 300034 |
| Hexadecimal (base 16) | 1801C |
| Base 3 | 11222212221 |
| As time | 98332 seconds = 27 h 18 min 52 s |
Is 98332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98332 ÷ 2 = 49166) | 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 (98332 ÷ 4 = 24583) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 98332 a prime number?
No. 98332 = × 13 × 31 × 61, so it is divisible by 2.
What are the factors of 98332?
1, 2, 4, 13, 26, 31, 52, 61, 62, 122, 124, 244, 403, 793, 806, 1586, 1612, 1891, 3172, 3782, 7564, 24583, 49166, 98332.
What is 98332 in binary?
11000000000011100 (hexadecimal 1801C, octal 300034).
What is the square root of 98332?
About 313.5793, exactly 2√24583.
Is 98332 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 98332?
98332 is a happy number: repeatedly adding the squares of its digits reaches 1.