The number 53676
53676 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 71. Divisors (48): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54 … 53676.
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How to work it out
- 1
What is special about 53676: a Harshad number: divisible by its digit sum 27.
- 2
53676 is composite. Its prime factorisation is
- 3
The divisors add up to 161280; without 53676 itself that is 107604, so 53676 is abundant (107604 is more than 53676). Euler's totient φ(53676) = 15120 numbers up to 53676 share no factor with it.
- 4
The digits of 53676 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53676 = 2^{2} \times 3^{3} \times 7 \times 71 \]53676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 161280 |
| Euler totient φ(n) | 15120 |
| Square | 2881112976 |
| Cube | 154646620099776 |
| Square root | 231.680815 (= 6√1491) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.3676 × |
53676 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand six hundred and seventy-six |
| Binary (base 2) | 1101000110101100 |
| Octal (base 8) | 150654 |
| Hexadecimal (base 16) | D1AC |
| Base 3 | 2201122000 |
| As time | 53676 seconds = 14 h 54 min 36 s |
Is 53676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53676 ÷ 2 = 26838) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53676 ÷ 3 = 17892) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53676 ÷ 4 = 13419) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53676 ÷ 6 = 8946) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53676 ÷ 7 = 7668) | 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 | Yes (53676 ÷ 9 = 5964) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53676 ÷ 12 = 4473) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53676 a prime number?
No. 53676 = × × 7 × 71, so it is divisible by 2.
What are the factors of 53676?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 71, 84, 108, 126, 142, 189, 213, 252, 284, 378, 426, 497, 639, 756, 852, 994, 1278, 1491, 1917, 1988, 2556, 2982, 3834, 4473, 5964, 7668, 8946, 13419, 17892, 26838, 53676.
What is 53676 in binary?
1101000110101100 (hexadecimal D1AC, octal 150654).
What is the square root of 53676?
About 231.6808, exactly 6√1491.
Is 53676 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53676?
53676 is a Harshad number: divisible by its digit sum 27.