The number 53424
53424 is a composite number with 60 divisors. Its prime factorisation is × × 7 × 53. Divisors (60): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36 … 53424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53424: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
53424 is composite. Its prime factorisation is
- 3
The divisors add up to 174096; without 53424 itself that is 120672, so 53424 is abundant (120672 is more than 53424). Euler's totient φ(53424) = 14976 numbers up to 53424 share no factor with it.
- 4
The digits of 53424 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53424 = 2^{4} \times 3^{2} \times 7 \times 53 \]53424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 174096 |
| Euler totient φ(n) | 14976 |
| Square | 2854123776 |
| Cube | 152478708609024 |
| Square root | 231.136323 (= 12√371) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3424 × |
53424 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and twenty-four |
| Binary (base 2) | 1101000010110000 |
| Octal (base 8) | 150260 |
| Hexadecimal (base 16) | D0B0 |
| Base 3 | 2201021200 |
| As time | 53424 seconds = 14 h 50 min 24 s |
Is 53424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53424 ÷ 2 = 26712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53424 ÷ 3 = 17808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53424 ÷ 4 = 13356) | 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 | Yes (53424 ÷ 6 = 8904) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53424 ÷ 7 = 7632) | 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 (53424 ÷ 8 = 6678) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53424 ÷ 9 = 5936) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53424 ÷ 12 = 4452) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53424 a prime number?
No. 53424 = × × 7 × 53, so it is divisible by 2.
What are the factors of 53424?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 53, 56, 63, 72, 84, 106, 112, 126, 144, 159, 168, 212, 252, 318, 336, 371, 424, 477, 504, 636, 742, 848, 954, 1008, 1113, 1272, 1484, 1908, 2226, 2544, 2968, 3339, 3816, 4452, 5936, 6678, 7632, 8904, 13356, 17808, 26712, 53424.
What is 53424 in binary?
1101000010110000 (hexadecimal D0B0, octal 150260).
What is the square root of 53424?
About 231.1363, exactly 12√371.
Is 53424 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53424?
53424 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.