The number 33464
33464 is a composite number with 16 divisors. Its prime factorisation is × 47 × 89. Divisors (16): 1, 2, 4, 8, 47, 89, 94, 178, 188, 356, 376, 712, 4183, 8366, 16732, 33464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33464: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33464 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 33464 itself that is 31336, so 33464 is deficient (31336 is less than 33464). Euler's totient φ(33464) = 16192 numbers up to 33464 share no factor with it.
- 4
The digits of 33464 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33464 = 2^{3} \times 47 \times 89 \]33464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 16192 |
| Square | 1119839296 |
| Cube | 37474302201344 |
| Square root | 182.931681 (= 2√8366) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3464 × |
33464 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and sixty-four |
| Binary (base 2) | 1000001010111000 |
| Octal (base 8) | 101270 |
| Hexadecimal (base 16) | 82B8 |
| Base 3 | 1200220102 |
| As time | 33464 seconds = 9 h 17 min 44 s |
Is 33464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33464 ÷ 2 = 16732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33464 ÷ 4 = 8366) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (33464 ÷ 8 = 4183) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33464 a prime number?
No. 33464 = × 47 × 89, so it is divisible by 2.
What are the factors of 33464?
1, 2, 4, 8, 47, 89, 94, 178, 188, 356, 376, 712, 4183, 8366, 16732, 33464.
What is 33464 in binary?
1000001010111000 (hexadecimal 82B8, octal 101270).
What is the square root of 33464?
About 182.9317, exactly 2√8366.
Is 33464 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33464?
33464 is a happy number: repeatedly adding the squares of its digits reaches 1.