The number 34672
34672 is a composite number with 20 divisors. Its prime factorisation is × 11 × 197. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 197, 394, 788, 1576, 2167, 3152 … 34672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34672: a Harshad number: divisible by its digit sum 22.
- 2
34672 is composite. Its prime factorisation is
- 3
The divisors add up to 73656; without 34672 itself that is 38984, so 34672 is abundant (38984 is more than 34672). Euler's totient φ(34672) = 15680 numbers up to 34672 share no factor with it.
- 4
The digits of 34672 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34672 = 2^{4} \times 11 \times 197 \]34672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 73656 |
| Euler totient φ(n) | 15680 |
| Square | 1202147584 |
| Cube | 41680861032448 |
| Square root | 186.204189 (= 4√2167) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.4672 × |
34672 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand six hundred and seventy-two |
| Binary (base 2) | 1000011101110000 |
| Octal (base 8) | 103560 |
| Hexadecimal (base 16) | 8770 |
| Base 3 | 1202120011 |
| As time | 34672 seconds = 9 h 37 min 52 s |
Is 34672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34672 ÷ 2 = 17336) | 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 (34672 ÷ 4 = 8668) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | Yes (34672 ÷ 8 = 4334) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34672 ÷ 11 = 3152) | 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 34672 a prime number?
No. 34672 = × 11 × 197, so it is divisible by 2.
What are the factors of 34672?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 197, 394, 788, 1576, 2167, 3152, 4334, 8668, 17336, 34672.
What is 34672 in binary?
1000011101110000 (hexadecimal 8770, octal 103560).
What is the square root of 34672?
About 186.2042, exactly 4√2167.
Is 34672 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 34672?
34672 is a Harshad number: divisible by its digit sum 22.