The number 59228
59228 is a composite number with 24 divisors. Its prime factorisation is × 13 × 17 × 67. Divisors (24): 1, 2, 4, 13, 17, 26, 34, 52, 67, 68, 134, 221, 268, 442, 871, 884 … 59228.
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How to work it out
- 1
What is special about 59228: a Harshad number: divisible by its digit sum 26.
- 2
59228 is composite. Its prime factorisation is
- 3
The divisors add up to 119952; without 59228 itself that is 60724, so 59228 is abundant (60724 is more than 59228). Euler's totient φ(59228) = 25344 numbers up to 59228 share no factor with it.
- 4
The digits of 59228 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59228 = 2^{2} \times 13 \times 17 \times 67 \]59228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119952 |
| Euler totient φ(n) | 25344 |
| Square | 3507955984 |
| Cube | 207769217020352 |
| Square root | 243.368034 (= 2√14807) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.9228 × |
59228 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and twenty-eight |
| Binary (base 2) | 1110011101011100 |
| Octal (base 8) | 163534 |
| Hexadecimal (base 16) | E75C |
| Base 3 | 10000020122 |
| As time | 59228 seconds = 16 h 27 min 8 s |
Is 59228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59228 ÷ 2 = 29614) | 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 (59228 ÷ 4 = 14807) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 59228 a prime number?
No. 59228 = × 13 × 17 × 67, so it is divisible by 2.
What are the factors of 59228?
1, 2, 4, 13, 17, 26, 34, 52, 67, 68, 134, 221, 268, 442, 871, 884, 1139, 1742, 2278, 3484, 4556, 14807, 29614, 59228.
What is 59228 in binary?
1110011101011100 (hexadecimal E75C, octal 163534).
What is the square root of 59228?
About 243.3680, exactly 2√14807.
Is 59228 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 59228?
59228 is a Harshad number: divisible by its digit sum 26.