The number 93990
93990 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 241. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 241 … 93990.
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How to work it out
- 1
What is special about 93990: a Harshad number: divisible by its digit sum 30.
- 2
93990 is composite. Its prime factorisation is
- 3
The divisors add up to 243936; without 93990 itself that is 149946, so 93990 is abundant (149946 is more than 93990). Euler's totient φ(93990) = 23040 numbers up to 93990 share no factor with it.
- 4
The digits of 93990 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 93990 = 2 \times 3 \times 5 \times 13 \times 241 \]
93990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 243936 |
| Euler totient φ(n) | 23040 |
| Square | 8834120100 |
| Cube | 830318948199000 |
| Square root | 306.577886 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 9.399 × |
93990 in other forms
| Form | Value |
|---|---|
| In words | ninety-three thousand nine hundred and ninety |
| Binary (base 2) | 10110111100100110 |
| Octal (base 8) | 267446 |
| Hexadecimal (base 16) | 16F26 |
| Base 3 | 11202221010 |
| As time | 93990 seconds = 26 h 6 min 30 s |
Is 93990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (93990 ÷ 2 = 46995) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (93990 ÷ 3 = 31330) | 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 (93990 ÷ 5 = 18798) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (93990 ÷ 6 = 15665) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (93990 ÷ 10 = 9399) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 93990 a prime number?
No. 93990 = 2 × 3 × 5 × 13 × 241, so it is divisible by 2.
What are the factors of 93990?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 241, 390, 482, 723, 1205, 1446, 2410, 3133, 3615, 6266, 7230, 9399, 15665, 18798, 31330, 46995, 93990.
What is 93990 in binary?
10110111100100110 (hexadecimal 16F26, octal 267446).
What is the square root of 93990?
About 306.5779.
Is 93990 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 93990?
93990 is a Harshad number: divisible by its digit sum 30.