The number 61308
61308 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 131. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 131 … 61308.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61308: a Harshad number: divisible by its digit sum 18.
- 2
61308 is composite. Its prime factorisation is
- 3
The divisors add up to 168168; without 61308 itself that is 106860, so 61308 is abundant (106860 is more than 61308). Euler's totient φ(61308) = 18720 numbers up to 61308 share no factor with it.
- 4
The digits of 61308 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61308 = 2^{2} \times 3^{2} \times 13 \times 131 \]61308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 168168 |
| Euler totient φ(n) | 18720 |
| Square | 3758670864 |
| Cube | 230436593330112 |
| Square root | 247.604523 (= 6√1703) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.1308 × |
61308 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and eight |
| Binary (base 2) | 1110111101111100 |
| Octal (base 8) | 167574 |
| Hexadecimal (base 16) | EF7C |
| Base 3 | 10010002200 |
| As time | 61308 seconds = 17 h 1 min 48 s |
Is 61308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61308 ÷ 2 = 30654) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61308 ÷ 3 = 20436) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61308 ÷ 4 = 15327) | 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 | Yes (61308 ÷ 6 = 10218) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (61308 ÷ 9 = 6812) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61308 ÷ 12 = 5109) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61308 a prime number?
No. 61308 = × × 13 × 131, so it is divisible by 2.
What are the factors of 61308?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 131, 156, 234, 262, 393, 468, 524, 786, 1179, 1572, 1703, 2358, 3406, 4716, 5109, 6812, 10218, 15327, 20436, 30654, 61308.
What is 61308 in binary?
1110111101111100 (hexadecimal EF7C, octal 167574).
What is the square root of 61308?
About 247.6045, exactly 6√1703.
Is 61308 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61308?
61308 is a Harshad number: divisible by its digit sum 18.