The number 34974
34974 is a composite number with 24 divisors. Its prime factorisation is 2 × × 29 × 67. Divisors (24): 1, 2, 3, 6, 9, 18, 29, 58, 67, 87, 134, 174, 201, 261, 402, 522 … 34974.
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How to work it out
- 1
34974 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34974 is composite. Its prime factorisation is
- 3
The divisors add up to 79560; without 34974 itself that is 44586, so 34974 is abundant (44586 is more than 34974). Euler's totient φ(34974) = 11088 numbers up to 34974 share no factor with it.
- 4
The digits of 34974 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34974 = 2 \times 3^{2} \times 29 \times 67 \]34974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 79560 |
| Euler totient φ(n) | 11088 |
| Square | 1223180676 |
| Cube | 42779520962424 |
| Square root | 187.013369 (= 3√3886) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.4974 × |
34974 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and seventy-four |
| Binary (base 2) | 1000100010011110 |
| Octal (base 8) | 104236 |
| Hexadecimal (base 16) | 889E |
| Base 3 | 1202222100 |
| As time | 34974 seconds = 9 h 42 min 54 s |
Is 34974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34974 ÷ 2 = 17487) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34974 ÷ 3 = 11658) | 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 (34974 ÷ 6 = 5829) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (34974 ÷ 9 = 3886) | 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 5) | 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 34974 a prime number?
No. 34974 = 2 × × 29 × 67, so it is divisible by 2.
What are the factors of 34974?
1, 2, 3, 6, 9, 18, 29, 58, 67, 87, 134, 174, 201, 261, 402, 522, 603, 1206, 1943, 3886, 5829, 11658, 17487, 34974.
What is 34974 in binary?
1000100010011110 (hexadecimal 889E, octal 104236).
What is the square root of 34974?
About 187.0134, exactly 3√3886.
Is 34974 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 34974?
It is a composite number with 24 divisors.