The number 98901
98901 is a composite number with 24 divisors. Its prime factorisation is × 11 × 37. Divisors (24): 1, 3, 9, 11, 27, 33, 37, 81, 99, 111, 243, 297, 333, 407, 891, 999 … 98901.
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How to work it out
- 1
What is special about 98901: a Harshad number: divisible by its digit sum 27.
- 2
98901 is composite. Its prime factorisation is
- 3
The divisors add up to 165984; without 98901 itself that is 67083, so 98901 is deficient (67083 is less than 98901). Euler's totient φ(98901) = 58320 numbers up to 98901 share no factor with it.
- 4
The digits of 98901 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98901 = 3^{5} \times 11 \times 37 \]98901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 165984 |
| Euler totient φ(n) | 58320 |
| Square | 9781407801 |
| Cube | 967391012926701 |
| Square root | 314.485294 (= 9√1221) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.8901 × |
98901 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and one |
| Binary (base 2) | 11000001001010101 |
| Octal (base 8) | 301125 |
| Hexadecimal (base 16) | 18255 |
| Base 3 | 12000200000 |
| As time | 98901 seconds = 27 h 28 min 21 s |
Is 98901 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98901 ÷ 3 = 32967) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (98901 ÷ 9 = 10989) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98901 ÷ 11 = 8991) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98901 a prime number?
No. 98901 = × 11 × 37, so it is divisible by 3.
What are the factors of 98901?
1, 3, 9, 11, 27, 33, 37, 81, 99, 111, 243, 297, 333, 407, 891, 999, 1221, 2673, 2997, 3663, 8991, 10989, 32967, 98901.
What is 98901 in binary?
11000001001010101 (hexadecimal 18255, octal 301125).
What is the square root of 98901?
About 314.4853, exactly 9√1221.
Is 98901 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 98901?
98901 is a Harshad number: divisible by its digit sum 27.