The number 61124
61124 is a composite number with 24 divisors. Its prime factorisation is × 7 × 37 × 59. Divisors (24): 1, 2, 4, 7, 14, 28, 37, 59, 74, 118, 148, 236, 259, 413, 518, 826 … 61124.
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How to work it out
- 1
What is special about 61124: a Harshad number: divisible by its digit sum 14.
- 2
61124 is composite. Its prime factorisation is
- 3
The divisors add up to 127680; without 61124 itself that is 66556, so 61124 is abundant (66556 is more than 61124). Euler's totient φ(61124) = 25056 numbers up to 61124 share no factor with it.
- 4
The digits of 61124 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61124 = 2^{2} \times 7 \times 37 \times 59 \]61124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127680 |
| Euler totient φ(n) | 25056 |
| Square | 3736143376 |
| Cube | 228368027714624 |
| Square root | 247.232684 (= 2√15281) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1124 × |
61124 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and twenty-four |
| Binary (base 2) | 1110111011000100 |
| Octal (base 8) | 167304 |
| Hexadecimal (base 16) | EEC4 |
| Base 3 | 10002211212 |
| As time | 61124 seconds = 16 h 58 min 44 s |
Is 61124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61124 ÷ 2 = 30562) | 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 (61124 ÷ 4 = 15281) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61124 ÷ 7 = 8732) | 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 5) | 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 | No (remainder 8) | 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 61124 a prime number?
No. 61124 = × 7 × 37 × 59, so it is divisible by 2.
What are the factors of 61124?
1, 2, 4, 7, 14, 28, 37, 59, 74, 118, 148, 236, 259, 413, 518, 826, 1036, 1652, 2183, 4366, 8732, 15281, 30562, 61124.
What is 61124 in binary?
1110111011000100 (hexadecimal EEC4, octal 167304).
What is the square root of 61124?
About 247.2327, exactly 2√15281.
Is 61124 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 61124?
61124 is a Harshad number: divisible by its digit sum 14.