The number 59248
59248 is a composite number with 30 divisors. Its prime factorisation is × 7 × . Divisors (30): 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322 … 59248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59248: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.
- 2
59248 is composite. Its prime factorisation is
- 3
The divisors add up to 137144; without 59248 itself that is 77896, so 59248 is abundant (77896 is more than 59248). Euler's totient φ(59248) = 24288 numbers up to 59248 share no factor with it.
- 4
The digits of 59248 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59248 = 2^{4} \times 7 \times 23^{2} \]59248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 137144 |
| Euler totient φ(n) | 24288 |
| Square | 3510325504 |
| Cube | 207979765460992 |
| Square root | 243.409121 (= 92√7) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9248 × |
59248 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and forty-eight |
| Binary (base 2) | 1110011101110000 |
| Octal (base 8) | 163560 |
| Hexadecimal (base 16) | E770 |
| Base 3 | 10000021101 |
| As time | 59248 seconds = 16 h 27 min 28 s |
Is 59248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59248 ÷ 2 = 29624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59248 ÷ 4 = 14812) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (59248 ÷ 7 = 8464) | 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 (59248 ÷ 8 = 7406) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59248 a prime number?
No. 59248 = × 7 × , so it is divisible by 2.
What are the factors of 59248?
1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 529, 644, 1058, 1288, 2116, 2576, 3703, 4232, 7406, 8464, 14812, 29624, 59248.
What is 59248 in binary?
1110011101110000 (hexadecimal E770, octal 163560).
What is the square root of 59248?
About 243.4091, exactly 92√7.
Is 59248 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59248?
59248 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.