The number 31374
31374 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 83. Divisors (32): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 83, 126, 166 … 31374.
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How to work it out
- 1
What is special about 31374: a Harshad number: divisible by its digit sum 18.
- 2
31374 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 31374 itself that is 49266, so 31374 is abundant (49266 is more than 31374). Euler's totient φ(31374) = 8856 numbers up to 31374 share no factor with it.
- 4
The digits of 31374 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31374 = 2 \times 3^{3} \times 7 \times 83 \]31374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 8856 |
| Square | 984327876 |
| Cube | 30882302781624 |
| Square root | 177.127073 (= 3√3486) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1374 × |
31374 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and seventy-four |
| Binary (base 2) | 111101010001110 |
| Octal (base 8) | 75216 |
| Hexadecimal (base 16) | 7A8E |
| Base 3 | 1121001000 |
| As time | 31374 seconds = 8 h 42 min 54 s |
Is 31374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31374 ÷ 2 = 15687) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31374 ÷ 3 = 10458) | 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 | Yes (31374 ÷ 6 = 5229) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31374 ÷ 7 = 4482) | 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 | Yes (31374 ÷ 9 = 3486) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31374 a prime number?
No. 31374 = 2 × × 7 × 83, so it is divisible by 2.
What are the factors of 31374?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 83, 126, 166, 189, 249, 378, 498, 581, 747, 1162, 1494, 1743, 2241, 3486, 4482, 5229, 10458, 15687, 31374.
What is 31374 in binary?
111101010001110 (hexadecimal 7A8E, octal 75216).
What is the square root of 31374?
About 177.1271, exactly 3√3486.
Is 31374 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31374?
31374 is a Harshad number: divisible by its digit sum 18.