The number 30988
30988 is a composite number with 12 divisors. Its prime factorisation is × 61 × 127. Divisors (12): 1, 2, 4, 61, 122, 127, 244, 254, 508, 7747, 15494, 30988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30988 is composite. Its prime factorisation is
- 3
The divisors add up to 55552; without 30988 itself that is 24564, so 30988 is deficient (24564 is less than 30988). Euler's totient φ(30988) = 15120 numbers up to 30988 share no factor with it.
- 4
The digits of 30988 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30988 = 2^{2} \times 61 \times 127 \]30988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55552 |
| Euler totient φ(n) | 15120 |
| Square | 960256144 |
| Cube | 29756417390272 |
| Square root | 176.034088 (= 2√7747) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.0988 × |
30988 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand nine hundred and eighty-eight |
| Binary (base 2) | 111100100001100 |
| Octal (base 8) | 74414 |
| Hexadecimal (base 16) | 790C |
| Base 3 | 1120111201 |
| As time | 30988 seconds = 8 h 36 min 28 s |
Is 30988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30988 ÷ 2 = 15494) | 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 | Yes (30988 ÷ 4 = 7747) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30988 a prime number?
No. 30988 = × 61 × 127, so it is divisible by 2.
What are the factors of 30988?
1, 2, 4, 61, 122, 127, 244, 254, 508, 7747, 15494, 30988.
What is 30988 in binary?
111100100001100 (hexadecimal 790C, octal 74414).
What is the square root of 30988?
About 176.0341, exactly 2√7747.
Is 30988 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 30988?
It is a composite number with 12 divisors.