The number 34749
34749 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13. Divisors (24): 1, 3, 9, 11, 13, 27, 33, 39, 81, 99, 117, 143, 243, 297, 351, 429 … 34749.
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How to work it out
- 1
What is special about 34749: a Harshad number: divisible by its digit sum 27.
- 2
34749 is composite. Its prime factorisation is
- 3
The divisors add up to 61152; without 34749 itself that is 26403, so 34749 is deficient (26403 is less than 34749). Euler's totient φ(34749) = 19440 numbers up to 34749 share no factor with it.
- 4
The digits of 34749 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
\[ 34749 = 3^{5} \times 11 \times 13 \]34749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61152 |
| Euler totient φ(n) | 19440 |
| Square | 1207493001 |
| Cube | 41959174291749 |
| Square root | 186.410837 (= 9√429) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.4749 × |
34749 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand seven hundred and forty-nine |
| Binary (base 2) | 1000011110111101 |
| Octal (base 8) | 103675 |
| Hexadecimal (base 16) | 87BD |
| Base 3 | 1202200000 |
| As time | 34749 seconds = 9 h 39 min 9 s |
Is 34749 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 (34749 ÷ 3 = 11583) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34749 ÷ 9 = 3861) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34749 ÷ 11 = 3159) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34749 a prime number?
No. 34749 = × 11 × 13, so it is divisible by 3.
What are the factors of 34749?
1, 3, 9, 11, 13, 27, 33, 39, 81, 99, 117, 143, 243, 297, 351, 429, 891, 1053, 1287, 2673, 3159, 3861, 11583, 34749.
What is 34749 in binary?
1000011110111101 (hexadecimal 87BD, octal 103675).
What is the square root of 34749?
About 186.4108, exactly 9√429.
Is 34749 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 34749?
34749 is a Harshad number: divisible by its digit sum 27.