The number 61204
61204 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 107. Divisors (24): 1, 2, 4, 11, 13, 22, 26, 44, 52, 107, 143, 214, 286, 428, 572, 1177 … 61204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61204: a Harshad number: divisible by its digit sum 13.
- 2
61204 is composite. Its prime factorisation is
- 3
The divisors add up to 127008; without 61204 itself that is 65804, so 61204 is abundant (65804 is more than 61204). Euler's totient φ(61204) = 25440 numbers up to 61204 share no factor with it.
- 4
The digits of 61204 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61204 = 2^{2} \times 11 \times 13 \times 107 \]61204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127008 |
| Euler totient φ(n) | 25440 |
| Square | 3745929616 |
| Cube | 229265876217664 |
| Square root | 247.394422 (= 2√15301) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.1204 × |
61204 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand two hundred and four |
| Binary (base 2) | 1110111100010100 |
| Octal (base 8) | 167424 |
| Hexadecimal (base 16) | EF14 |
| Base 3 | 10002221211 |
| As time | 61204 seconds = 17 h 0 min 4 s |
Is 61204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61204 ÷ 2 = 30602) | 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 (61204 ÷ 4 = 15301) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (61204 ÷ 11 = 5564) | 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 61204 a prime number?
No. 61204 = × 11 × 13 × 107, so it is divisible by 2.
What are the factors of 61204?
1, 2, 4, 11, 13, 22, 26, 44, 52, 107, 143, 214, 286, 428, 572, 1177, 1391, 2354, 2782, 4708, 5564, 15301, 30602, 61204.
What is 61204 in binary?
1110111100010100 (hexadecimal EF14, octal 167424).
What is the square root of 61204?
About 247.3944, exactly 2√15301.
Is 61204 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 61204?
61204 is a Harshad number: divisible by its digit sum 13.