The number 98972
98972 is a composite number with 12 divisors. Its prime factorisation is × 109 × 227. Divisors (12): 1, 2, 4, 109, 218, 227, 436, 454, 908, 24743, 49486, 98972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98972 is composite. Its prime factorisation is
- 3
The divisors add up to 175560; without 98972 itself that is 76588, so 98972 is deficient (76588 is less than 98972). Euler's totient φ(98972) = 48816 numbers up to 98972 share no factor with it.
- 4
The digits of 98972 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98972 = 2^{2} \times 109 \times 227 \]98972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 175560 |
| Euler totient φ(n) | 48816 |
| Square | 9795456784 |
| Cube | 969475948826048 |
| Square root | 314.598156 (= 2√24743) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.8972 × |
98972 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and seventy-two |
| Binary (base 2) | 11000001010011100 |
| Octal (base 8) | 301234 |
| Hexadecimal (base 16) | 1829C |
| Base 3 | 12000202122 |
| As time | 98972 seconds = 27 h 29 min 32 s |
Is 98972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98972 ÷ 2 = 49486) | 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 | Yes (98972 ÷ 4 = 24743) | 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 | No (remainder 6) | 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 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98972 a prime number?
No. 98972 = × 109 × 227, so it is divisible by 2.
What are the factors of 98972?
1, 2, 4, 109, 218, 227, 436, 454, 908, 24743, 49486, 98972.
What is 98972 in binary?
11000001010011100 (hexadecimal 1829C, octal 301234).
What is the square root of 98972?
About 314.5982, exactly 2√24743.
Is 98972 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 98972?
It is a composite number with 12 divisors.