The number 30121
30121 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 331. Divisors (8): 1, 7, 13, 91, 331, 2317, 4303, 30121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30121: a Harshad number: divisible by its digit sum 7.
- 2
30121 is composite. Its prime factorisation is
- 3
The divisors add up to 37184; without 30121 itself that is 7063, so 30121 is deficient (7063 is less than 30121). Euler's totient φ(30121) = 23760 numbers up to 30121 share no factor with it.
- 4
The digits of 30121 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30121 = 7 \times 13 \times 331 \]
30121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37184 |
| Euler totient φ(n) | 23760 |
| Square | 907274641 |
| Cube | 27328019461561 |
| Square root | 173.554026 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 3.0121 × |
30121 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand one hundred and twenty-one |
| Binary (base 2) | 111010110101001 |
| Octal (base 8) | 72651 |
| Hexadecimal (base 16) | 75A9 |
| Base 3 | 1112022121 |
| As time | 30121 seconds = 8 h 22 min 1 s |
Is 30121 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (30121 ÷ 7 = 4303) | 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 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30121 a prime number?
No. 30121 = 7 × 13 × 331, so it is divisible by 7.
What are the factors of 30121?
1, 7, 13, 91, 331, 2317, 4303, 30121.
What is 30121 in binary?
111010110101001 (hexadecimal 75A9, octal 72651).
What is the square root of 30121?
About 173.5540.
Is 30121 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 30121?
30121 is a Harshad number: divisible by its digit sum 7.