The number 3051
3051 is a composite number with 8 divisors. Its prime factorisation is × 113. Divisors (8): 1, 3, 9, 27, 113, 339, 1017, 3051.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3051: a Harshad number: divisible by its digit sum 9.
- 2
3051 is composite. Its prime factorisation is
- 3
The divisors add up to 4560; without 3051 itself that is 1509, so 3051 is deficient (1509 is less than 3051). Euler's totient φ(3051) = 2016 numbers up to 3051 share no factor with it.
- 4
The digits of 3051 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3051 = 3^{3} \times 113 \]3051 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4560 |
| Euler totient φ(n) | 2016 |
| Square | 9308601 |
| Cube | 28400541651 |
| Square root | 55.235858 (= 3√339) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 154 |
| Scientific notation | 3.051 × |
3051 in other forms
| Form | Value |
|---|---|
| In words | three thousand and fifty-one |
| Roman numerals | MMMLI |
| Binary (base 2) | 101111101011 |
| Octal (base 8) | 5753 |
| Hexadecimal (base 16) | BEB |
| Base 3 | 11012000 |
| As time | 3051 seconds = 50 min 51 s |
Is 3051 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 (3051 ÷ 3 = 1017) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3051 ÷ 9 = 339) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3051 a prime number?
No. 3051 = × 113, so it is divisible by 3.
What are the factors of 3051?
1, 3, 9, 27, 113, 339, 1017, 3051.
What is 3051 in binary?
101111101011 (hexadecimal BEB, octal 5753).
What is the square root of 3051?
About 55.2359, exactly 3√339.
What is 3051 in Roman numerals?
MMMLI.
Is 3051 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3051?
3051 is a Harshad number: divisible by its digit sum 9.