The number 54464
54464 is a composite number with 28 divisors. Its prime factorisation is × 23 × 37. Divisors (28): 1, 2, 4, 8, 16, 23, 32, 37, 46, 64, 74, 92, 148, 184, 296, 368 … 54464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54464: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.
- 2
54464 is composite. Its prime factorisation is
- 3
The divisors add up to 115824; without 54464 itself that is 61360, so 54464 is abundant (61360 is more than 54464). Euler's totient φ(54464) = 25344 numbers up to 54464 share no factor with it.
- 4
The digits of 54464 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54464 = 2^{6} \times 23 \times 37 \]54464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 115824 |
| Euler totient φ(n) | 25344 |
| Square | 2966327296 |
| Cube | 161558049849344 |
| Square root | 233.375234 (= 8√851) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.4464 × |
54464 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and sixty-four |
| Binary (base 2) | 1101010011000000 |
| Octal (base 8) | 152300 |
| Hexadecimal (base 16) | D4C0 |
| Base 3 | 2202201012 |
| As time | 54464 seconds = 15 h 7 min 44 s |
Is 54464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54464 ÷ 2 = 27232) | 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 (54464 ÷ 4 = 13616) | 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 (54464 ÷ 8 = 6808) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 54464 a prime number?
No. 54464 = × 23 × 37, so it is divisible by 2.
What are the factors of 54464?
1, 2, 4, 8, 16, 23, 32, 37, 46, 64, 74, 92, 148, 184, 296, 368, 592, 736, 851, 1184, 1472, 1702, 2368, 3404, 6808, 13616, 27232, 54464.
What is 54464 in binary?
1101010011000000 (hexadecimal D4C0, octal 152300).
What is the square root of 54464?
About 233.3752, exactly 8√851.
Is 54464 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 54464?
54464 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.