The number 35121
35121 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 509. Divisors (8): 1, 3, 23, 69, 509, 1527, 11707, 35121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35121 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35121 is composite. Its prime factorisation is
- 3
The divisors add up to 48960; without 35121 itself that is 13839, so 35121 is deficient (13839 is less than 35121). Euler's totient φ(35121) = 22352 numbers up to 35121 share no factor with it.
- 4
The digits of 35121 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35121 = 3 \times 23 \times 509 \]
35121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48960 |
| Euler totient φ(n) | 22352 |
| Square | 1233484641 |
| Cube | 43321214076561 |
| Square root | 187.405976 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5121 × |
35121 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand one hundred and twenty-one |
| Binary (base 2) | 1000100100110001 |
| Octal (base 8) | 104461 |
| Hexadecimal (base 16) | 8931 |
| Base 3 | 1210011210 |
| As time | 35121 seconds = 9 h 45 min 21 s |
Is 35121 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 (35121 ÷ 3 = 11707) | 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 1) | 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 2) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 35121 a prime number?
No. 35121 = 3 × 23 × 509, so it is divisible by 3.
What are the factors of 35121?
1, 3, 23, 69, 509, 1527, 11707, 35121.
What is 35121 in binary?
1000100100110001 (hexadecimal 8931, octal 104461).
What is the square root of 35121?
About 187.4060.
Is 35121 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 35121?
It is a composite number with 8 divisors.