The number 33460
33460 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 239. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 239, 478, 956, 1195 … 33460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33460: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33460 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 33460 itself that is 47180, so 33460 is abundant (47180 is more than 33460). Euler's totient φ(33460) = 11424 numbers up to 33460 share no factor with it.
- 4
The digits of 33460 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33460 = 2^{2} \times 5 \times 7 \times 239 \]33460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 11424 |
| Square | 1119571600 |
| Cube | 37460865736000 |
| Square root | 182.920748 (= 2√8365) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.346 × |
33460 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and sixty |
| Binary (base 2) | 1000001010110100 |
| Octal (base 8) | 101264 |
| Hexadecimal (base 16) | 82B4 |
| Base 3 | 1200220021 |
| As time | 33460 seconds = 9 h 17 min 40 s |
Is 33460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33460 ÷ 2 = 16730) | 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 (33460 ÷ 4 = 8365) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33460 ÷ 5 = 6692) | 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 | Yes (33460 ÷ 7 = 4780) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33460 ÷ 10 = 3346) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 33460 a prime number?
No. 33460 = × 5 × 7 × 239, so it is divisible by 2.
What are the factors of 33460?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 239, 478, 956, 1195, 1673, 2390, 3346, 4780, 6692, 8365, 16730, 33460.
What is 33460 in binary?
1000001010110100 (hexadecimal 82B4, octal 101264).
What is the square root of 33460?
About 182.9207, exactly 2√8365.
Is 33460 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33460?
33460 is a happy number: repeatedly adding the squares of its digits reaches 1.