The number 35013
35013 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1061. Divisors (8): 1, 3, 11, 33, 1061, 3183, 11671, 35013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35013: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35013 is composite. Its prime factorisation is
- 3
The divisors add up to 50976; without 35013 itself that is 15963, so 35013 is deficient (15963 is less than 35013). Euler's totient φ(35013) = 21200 numbers up to 35013 share no factor with it.
- 4
The digits of 35013 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35013 = 3 \times 11 \times 1061 \]
35013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50976 |
| Euler totient φ(n) | 21200 |
| Square | 1225910169 |
| Cube | 42922792747197 |
| Square root | 187.117610 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5013 × |
35013 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and thirteen |
| Binary (base 2) | 1000100011000101 |
| Octal (base 8) | 104305 |
| Hexadecimal (base 16) | 88C5 |
| Base 3 | 1210000210 |
| As time | 35013 seconds = 9 h 43 min 33 s |
Is 35013 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 | Yes (35013 ÷ 3 = 11671) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (35013 ÷ 11 = 3183) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35013 a prime number?
No. 35013 = 3 × 11 × 1061, so it is divisible by 3.
What are the factors of 35013?
1, 3, 11, 33, 1061, 3183, 11671, 35013.
What is 35013 in binary?
1000100011000101 (hexadecimal 88C5, octal 104305).
What is the square root of 35013?
About 187.1176.
Is 35013 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 35013?
35013 is a happy number: repeatedly adding the squares of its digits reaches 1.