The number 98462
98462 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 541. Divisors (16): 1, 2, 7, 13, 14, 26, 91, 182, 541, 1082, 3787, 7033, 7574, 14066, 49231, 98462.
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How to work it out
- 1
98462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98462 is composite. Its prime factorisation is
- 3
The divisors add up to 182112; without 98462 itself that is 83650, so 98462 is deficient (83650 is less than 98462). Euler's totient φ(98462) = 38880 numbers up to 98462 share no factor with it.
- 4
The digits of 98462 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98462 = 2 \times 7 \times 13 \times 541 \]
98462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 182112 |
| Euler totient φ(n) | 38880 |
| Square | 9694765444 |
| Cube | 954565995147128 |
| Square root | 313.786552 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.8462 × |
98462 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and sixty-two |
| Binary (base 2) | 11000000010011110 |
| Octal (base 8) | 300236 |
| Hexadecimal (base 16) | 1809E |
| Base 3 | 12000001202 |
| As time | 98462 seconds = 27 h 21 min 2 s |
Is 98462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98462 ÷ 2 = 49231) | 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 | No (remainder 2) | 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 | Yes (98462 ÷ 7 = 14066) | 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 2) | 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 1) | 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 98462 a prime number?
No. 98462 = 2 × 7 × 13 × 541, so it is divisible by 2.
What are the factors of 98462?
1, 2, 7, 13, 14, 26, 91, 182, 541, 1082, 3787, 7033, 7574, 14066, 49231, 98462.
What is 98462 in binary?
11000000010011110 (hexadecimal 1809E, octal 300236).
What is the square root of 98462?
About 313.7866.
Is 98462 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 98462?
It is a composite number with 16 divisors.