The number 98872
98872 is a composite number with 16 divisors. Its prime factorisation is × 17 × 727. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 727, 1454, 2908, 5816, 12359, 24718, 49436, 98872.
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How to work it out
- 1
What is special about 98872: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 34.
- 2
98872 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 98872 itself that is 97688, so 98872 is deficient (97688 is less than 98872). Euler's totient φ(98872) = 46464 numbers up to 98872 share no factor with it.
- 4
The digits of 98872 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98872 = 2^{3} \times 17 \times 727 \]98872 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 46464 |
| Square | 9775672384 |
| Cube | 966540279950848 |
| Square root | 314.439183 (= 2√24718) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8872 × |
98872 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand eight hundred and seventy-two |
| Binary (base 2) | 11000001000111000 |
| Octal (base 8) | 301070 |
| Hexadecimal (base 16) | 18238 |
| Base 3 | 12000121221 |
| As time | 98872 seconds = 27 h 27 min 52 s |
Is 98872 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98872 ÷ 2 = 49436) | 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 | Yes (98872 ÷ 4 = 24718) | 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 4) | 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 | Yes (98872 ÷ 8 = 12359) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98872 a prime number?
No. 98872 = × 17 × 727, so it is divisible by 2.
What are the factors of 98872?
1, 2, 4, 8, 17, 34, 68, 136, 727, 1454, 2908, 5816, 12359, 24718, 49436, 98872.
What is 98872 in binary?
11000001000111000 (hexadecimal 18238, octal 301070).
What is the square root of 98872?
About 314.4392, exactly 2√24718.
Is 98872 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 98872?
98872 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 34.