The number 59241
59241 is a composite number with 24 divisors. Its prime factorisation is 3 × × 13 × 31. Divisors (24): 1, 3, 7, 13, 21, 31, 39, 49, 91, 93, 147, 217, 273, 403, 637, 651 … 59241.
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How to work it out
- 1
What is special about 59241: a Harshad number: divisible by its digit sum 21.
- 2
59241 is composite. Its prime factorisation is
- 3
The divisors add up to 102144; without 59241 itself that is 42903, so 59241 is deficient (42903 is less than 59241). Euler's totient φ(59241) = 30240 numbers up to 59241 share no factor with it.
- 4
The digits of 59241 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59241 = 3 \times 7^{2} \times 13 \times 31 \]59241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102144 |
| Euler totient φ(n) | 30240 |
| Square | 3509496081 |
| Cube | 207906057334521 |
| Square root | 243.394741 (= 7√1209) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9241 × |
59241 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and forty-one |
| Binary (base 2) | 1110011101101001 |
| Octal (base 8) | 163551 |
| Hexadecimal (base 16) | E769 |
| Base 3 | 10000021010 |
| As time | 59241 seconds = 16 h 27 min 21 s |
Is 59241 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59241 ÷ 3 = 19747) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (59241 ÷ 7 = 8463) | 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 1) | 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 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59241 a prime number?
No. 59241 = 3 × × 13 × 31, so it is divisible by 3.
What are the factors of 59241?
1, 3, 7, 13, 21, 31, 39, 49, 91, 93, 147, 217, 273, 403, 637, 651, 1209, 1519, 1911, 2821, 4557, 8463, 19747, 59241.
What is 59241 in binary?
1110011101101001 (hexadecimal E769, octal 163551).
What is the square root of 59241?
About 243.3947, exactly 7√1209.
Is 59241 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 59241?
59241 is a Harshad number: divisible by its digit sum 21.