The number 61410
61410 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 23 × 89. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 89, 115, 138, 178, 230 … 61410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61410 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61410 is composite. Its prime factorisation is
- 3
The divisors add up to 155520; without 61410 itself that is 94110, so 61410 is abundant (94110 is more than 61410). Euler's totient φ(61410) = 15488 numbers up to 61410 share no factor with it.
- 4
The digits of 61410 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61410 = 2 \times 3 \times 5 \times 23 \times 89 \]
61410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 155520 |
| Euler totient φ(n) | 15488 |
| Square | 3771188100 |
| Cube | 231588661221000 |
| Square root | 247.810411 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.141 × |
61410 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and ten |
| Binary (base 2) | 1110111111100010 |
| Octal (base 8) | 167742 |
| Hexadecimal (base 16) | EFE2 |
| Base 3 | 10010020110 |
| As time | 61410 seconds = 17 h 3 min 30 s |
Is 61410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61410 ÷ 2 = 30705) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61410 ÷ 3 = 20470) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61410 ÷ 5 = 12282) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61410 ÷ 6 = 10235) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 | Yes (61410 ÷ 10 = 6141) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61410 a prime number?
No. 61410 = 2 × 3 × 5 × 23 × 89, so it is divisible by 2.
What are the factors of 61410?
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 89, 115, 138, 178, 230, 267, 345, 445, 534, 690, 890, 1335, 2047, 2670, 4094, 6141, 10235, 12282, 20470, 30705, 61410.
What is 61410 in binary?
1110111111100010 (hexadecimal EFE2, octal 167742).
What is the square root of 61410?
About 247.8104.
Is 61410 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 61410?
It is a composite number with 32 divisors.