The number 70091
70091 is a composite number with 16 divisors. Its prime factorisation is 7 × 17 × 19 × 31. Divisors (16): 1, 7, 17, 19, 31, 119, 133, 217, 323, 527, 589, 2261, 3689, 4123, 10013, 70091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70091: a Harshad number: divisible by its digit sum 17.
- 2
70091 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 70091 itself that is 22069, so 70091 is deficient (22069 is less than 70091). Euler's totient φ(70091) = 51840 numbers up to 70091 share no factor with it.
- 4
The digits of 70091 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70091 = 7 \times 17 \times 19 \times 31 \]
70091 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 51840 |
| Square | 4912748281 |
| Cube | 344339439763571 |
| Square root | 264.747049 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.0091 × |
70091 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and ninety-one |
| Binary (base 2) | 10001000111001011 |
| Octal (base 8) | 210713 |
| Hexadecimal (base 16) | 111CB |
| Base 3 | 10120010222 |
| As time | 70091 seconds = 19 h 28 min 11 s |
Is 70091 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (70091 ÷ 7 = 10013) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 70091 a prime number?
No. 70091 = 7 × 17 × 19 × 31, so it is divisible by 7.
What are the factors of 70091?
1, 7, 17, 19, 31, 119, 133, 217, 323, 527, 589, 2261, 3689, 4123, 10013, 70091.
What is 70091 in binary?
10001000111001011 (hexadecimal 111CB, octal 210713).
What is the square root of 70091?
About 264.7470.
Is 70091 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 70091?
70091 is a Harshad number: divisible by its digit sum 17.