The number 98974
98974 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 41 × 71. Divisors (16): 1, 2, 17, 34, 41, 71, 82, 142, 697, 1207, 1394, 2414, 2911, 5822, 49487, 98974.
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How to work it out
- 1
What is special about 98974: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
98974 is composite. Its prime factorisation is
- 3
The divisors add up to 163296; without 98974 itself that is 64322, so 98974 is deficient (64322 is less than 98974). Euler's totient φ(98974) = 44800 numbers up to 98974 share no factor with it.
- 4
The digits of 98974 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98974 = 2 \times 17 \times 41 \times 71 \]
98974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 163296 |
| Euler totient φ(n) | 44800 |
| Square | 9795852676 |
| Cube | 969534722754424 |
| Square root | 314.601335 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.8974 × |
98974 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and seventy-four |
| Binary (base 2) | 11000001010011110 |
| Octal (base 8) | 301236 |
| Hexadecimal (base 16) | 1829E |
| Base 3 | 12000202201 |
| As time | 98974 seconds = 27 h 29 min 34 s |
Is 98974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98974 ÷ 2 = 49487) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98974 a prime number?
No. 98974 = 2 × 17 × 41 × 71, so it is divisible by 2.
What are the factors of 98974?
1, 2, 17, 34, 41, 71, 82, 142, 697, 1207, 1394, 2414, 2911, 5822, 49487, 98974.
What is 98974 in binary?
11000001010011110 (hexadecimal 1829E, octal 301236).
What is the square root of 98974?
About 314.6013.
Is 98974 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 98974?
98974 is a happy number: repeatedly adding the squares of its digits reaches 1.