The number 53312
53312 is a composite number with 42 divisors. Its prime factorisation is × × 17. Divisors (42): 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 49, 56, 64, 68, 98 … 53312.
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How to work it out
- 1
What is special about 53312: a Harshad number: divisible by its digit sum 14.
- 2
53312 is composite. Its prime factorisation is
- 3
The divisors add up to 130302; without 53312 itself that is 76990, so 53312 is abundant (76990 is more than 53312). Euler's totient φ(53312) = 21504 numbers up to 53312 share no factor with it.
- 4
The digits of 53312 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53312 = 2^{6} \times 7^{2} \times 17 \]53312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 130302 |
| Euler totient φ(n) | 21504 |
| Square | 2842169344 |
| Cube | 151521732067328 |
| Square root | 230.893915 (= 56√17) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.3312 × |
53312 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and twelve |
| Binary (base 2) | 1101000001000000 |
| Octal (base 8) | 150100 |
| Hexadecimal (base 16) | D040 |
| Base 3 | 2201010112 |
| As time | 53312 seconds = 14 h 48 min 32 s |
Is 53312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53312 ÷ 2 = 26656) | 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 (53312 ÷ 4 = 13328) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (53312 ÷ 7 = 7616) | 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 (53312 ÷ 8 = 6664) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 53312 a prime number?
No. 53312 = × × 17, so it is divisible by 2.
What are the factors of 53312?
1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 49, 56, 64, 68, 98, 112, 119, 136, 196, 224, 238, 272, 392, 448, 476, 544, 784, 833, 952, 1088, 1568, 1666, 1904, 3136, 3332, 3808, 6664, 7616, 13328, 26656, 53312.
What is 53312 in binary?
1101000001000000 (hexadecimal D040, octal 150100).
What is the square root of 53312?
About 230.8939, exactly 56√17.
Is 53312 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 53312?
53312 is a Harshad number: divisible by its digit sum 14.