The number 31174
31174 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 13 × 109. Divisors (16): 1, 2, 11, 13, 22, 26, 109, 143, 218, 286, 1199, 1417, 2398, 2834, 15587, 31174.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31174 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31174 is composite. Its prime factorisation is
- 3
The divisors add up to 55440; without 31174 itself that is 24266, so 31174 is deficient (24266 is less than 31174). Euler's totient φ(31174) = 12960 numbers up to 31174 share no factor with it.
- 4
The digits of 31174 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31174 = 2 \times 11 \times 13 \times 109 \]
31174 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55440 |
| Euler totient φ(n) | 12960 |
| Square | 971818276 |
| Cube | 30295462936024 |
| Square root | 176.561604 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1174 × |
31174 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and seventy-four |
| Binary (base 2) | 111100111000110 |
| Octal (base 8) | 74706 |
| Hexadecimal (base 16) | 79C6 |
| Base 3 | 1120202121 |
| As time | 31174 seconds = 8 h 39 min 34 s |
Is 31174 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31174 ÷ 2 = 15587) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (31174 ÷ 11 = 2834) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31174 a prime number?
No. 31174 = 2 × 11 × 13 × 109, so it is divisible by 2.
What are the factors of 31174?
1, 2, 11, 13, 22, 26, 109, 143, 218, 286, 1199, 1417, 2398, 2834, 15587, 31174.
What is 31174 in binary?
111100111000110 (hexadecimal 79C6, octal 74706).
What is the square root of 31174?
About 176.5616.
Is 31174 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31174?
It is a composite number with 16 divisors.