The number 53274
53274 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 683. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 683, 1366, 2049, 4098, 8879, 17758, 26637, 53274.
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How to work it out
- 1
What is special about 53274: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53274 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 53274 itself that is 61638, so 53274 is abundant (61638 is more than 53274). Euler's totient φ(53274) = 16368 numbers up to 53274 share no factor with it.
- 4
The digits of 53274 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53274 = 2 \times 3 \times 13 \times 683 \]
53274 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 16368 |
| Square | 2838119076 |
| Cube | 151197955654824 |
| Square root | 230.811611 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3274 × |
53274 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand two hundred and seventy-four |
| Binary (base 2) | 1101000000011010 |
| Octal (base 8) | 150032 |
| Hexadecimal (base 16) | D01A |
| Base 3 | 2201002010 |
| As time | 53274 seconds = 14 h 47 min 54 s |
Is 53274 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53274 ÷ 2 = 26637) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53274 ÷ 3 = 17758) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (53274 ÷ 6 = 8879) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53274 a prime number?
No. 53274 = 2 × 3 × 13 × 683, so it is divisible by 2.
What are the factors of 53274?
1, 2, 3, 6, 13, 26, 39, 78, 683, 1366, 2049, 4098, 8879, 17758, 26637, 53274.
What is 53274 in binary?
1101000000011010 (hexadecimal D01A, octal 150032).
What is the square root of 53274?
About 230.8116.
Is 53274 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53274?
53274 is a happy number: repeatedly adding the squares of its digits reaches 1.