The number 34992
34992 is a composite number with 40 divisors. Its prime factorisation is × . Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72 … 34992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34992: a Harshad number: divisible by its digit sum 27.
- 2
34992 is composite. Its prime factorisation is
- 3
The divisors add up to 101680; without 34992 itself that is 66688, so 34992 is abundant (66688 is more than 34992). Euler's totient φ(34992) = 11664 numbers up to 34992 share no factor with it.
- 4
The digits of 34992 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34992 = 2^{4} \times 3^{7} \]34992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 101680 |
| Euler totient φ(n) | 11664 |
| Square | 1224440064 |
| Cube | 42845606719488 |
| Square root | 187.061487 (= 108√3) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4992 × |
34992 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and ninety-two |
| Binary (base 2) | 1000100010110000 |
| Octal (base 8) | 104260 |
| Hexadecimal (base 16) | 88B0 |
| Base 3 | 1210000000 |
| As time | 34992 seconds = 9 h 43 min 12 s |
Is 34992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34992 ÷ 2 = 17496) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34992 ÷ 3 = 11664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34992 ÷ 4 = 8748) | 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 | Yes (34992 ÷ 6 = 5832) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (34992 ÷ 8 = 4374) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34992 ÷ 9 = 3888) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (34992 ÷ 12 = 2916) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34992 a prime number?
No. 34992 = × , so it is divisible by 2.
What are the factors of 34992?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 729, 972, 1296, 1458, 1944, 2187, 2916, 3888, 4374, 5832, 8748, 11664, 17496, 34992.
What is 34992 in binary?
1000100010110000 (hexadecimal 88B0, octal 104260).
What is the square root of 34992?
About 187.0615, exactly 108√3.
Is 34992 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 34992?
34992 is a Harshad number: divisible by its digit sum 27.