The number 98670
98670 is a composite number with 64 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 13 × 23. Divisors (64): 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 23, 26, 30, 33, 39, 46 … 98670.
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How to work it out
- 1
What is special about 98670: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 30.
- 2
98670 is composite. Its prime factorisation is
- 3
The divisors add up to 290304; without 98670 itself that is 191634, so 98670 is abundant (191634 is more than 98670). Euler's totient φ(98670) = 21120 numbers up to 98670 share no factor with it.
- 4
The digits of 98670 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98670 = 2 \times 3 \times 5 \times 11 \times 13 \times 23 \]
98670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 290304 |
| Euler totient φ(n) | 21120 |
| Square | 9735768900 |
| Cube | 960628317363000 |
| Square root | 314.117812 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.867 × |
98670 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand six hundred and seventy |
| Binary (base 2) | 11000000101101110 |
| Octal (base 8) | 300556 |
| Hexadecimal (base 16) | 1816E |
| Base 3 | 12000100110 |
| As time | 98670 seconds = 27 h 24 min 30 s |
Is 98670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98670 ÷ 2 = 49335) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98670 ÷ 3 = 32890) | 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 | Yes (98670 ÷ 5 = 19734) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (98670 ÷ 6 = 16445) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98670 ÷ 10 = 9867) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98670 ÷ 11 = 8970) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98670 a prime number?
No. 98670 = 2 × 3 × 5 × 11 × 13 × 23, so it is divisible by 2.
What are the factors of 98670?
1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 23, 26, 30, 33, 39, 46, 55, 65, 66, 69, 78, 110, 115, 130, 138, 143, 165, 195, 230, 253, 286, 299, 330, 345, 390, 429, 506, 598, 690, 715, 759, 858, 897, 1265, 1430, 1495, 1518, 1794, 2145, 2530, 2990, 3289, 3795, 4290, 4485, 6578, 7590, 8970, 9867, 16445, 19734, 32890, 49335, 98670.
What is 98670 in binary?
11000000101101110 (hexadecimal 1816E, octal 300556).
What is the square root of 98670?
About 314.1178.
Is 98670 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 98670?
98670 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 30.