The number 98172
98172 is a composite number with 36 divisors. Its prime factorisation is × × 101. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 101, 108, 162, 202 … 98172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98172: a Harshad number: divisible by its digit sum 27.
- 2
98172 is composite. Its prime factorisation is
- 3
The divisors add up to 259896; without 98172 itself that is 161724, so 98172 is abundant (161724 is more than 98172). Euler's totient φ(98172) = 32400 numbers up to 98172 share no factor with it.
- 4
The digits of 98172 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98172 = 2^{2} \times 3^{5} \times 101 \]98172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 259896 |
| Euler totient φ(n) | 32400 |
| Square | 9637741584 |
| Cube | 946156366784448 |
| Square root | 313.324113 (= 18√303) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8172 × |
98172 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand one hundred and seventy-two |
| Binary (base 2) | 10111111101111100 |
| Octal (base 8) | 277574 |
| Hexadecimal (base 16) | 17F7C |
| Base 3 | 11222200000 |
| As time | 98172 seconds = 27 h 16 min 12 s |
Is 98172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98172 ÷ 2 = 49086) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98172 ÷ 3 = 32724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98172 ÷ 4 = 24543) | 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 | Yes (98172 ÷ 6 = 16362) | 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 | Yes (98172 ÷ 9 = 10908) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (98172 ÷ 12 = 8181) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98172 a prime number?
No. 98172 = × × 101, so it is divisible by 2.
What are the factors of 98172?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 101, 108, 162, 202, 243, 303, 324, 404, 486, 606, 909, 972, 1212, 1818, 2727, 3636, 5454, 8181, 10908, 16362, 24543, 32724, 49086, 98172.
What is 98172 in binary?
10111111101111100 (hexadecimal 17F7C, octal 277574).
What is the square root of 98172?
About 313.3241, exactly 18√303.
Is 98172 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 98172?
98172 is a Harshad number: divisible by its digit sum 27.