The number 61350
61350 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 409. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 409, 818, 1227, 2045 … 61350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61350: a Harshad number: divisible by its digit sum 15.
- 2
61350 is composite. Its prime factorisation is
- 3
The divisors add up to 152520; without 61350 itself that is 91170, so 61350 is abundant (91170 is more than 61350). Euler's totient φ(61350) = 16320 numbers up to 61350 share no factor with it.
- 4
The digits of 61350 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 241 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61350 = 2 \times 3 \times 5^{2} \times 409 \]61350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 152520 |
| Euler totient φ(n) | 16320 |
| Square | 3763822500 |
| Cube | 230910510375000 |
| Square root | 247.689322 (= 5√2454) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 241 |
| Scientific notation | 6.135 × |
61350 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and fifty |
| Binary (base 2) | 1110111110100110 |
| Octal (base 8) | 167646 |
| Hexadecimal (base 16) | EFA6 |
| Base 3 | 10010011020 |
| As time | 61350 seconds = 17 h 2 min 30 s |
Is 61350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61350 ÷ 2 = 30675) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61350 ÷ 3 = 20450) | 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 (61350 ÷ 5 = 12270) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61350 ÷ 6 = 10225) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61350 ÷ 10 = 6135) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 61350 a prime number?
No. 61350 = 2 × 3 × × 409, so it is divisible by 2.
What are the factors of 61350?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 409, 818, 1227, 2045, 2454, 4090, 6135, 10225, 12270, 20450, 30675, 61350.
What is 61350 in binary?
1110111110100110 (hexadecimal EFA6, octal 167646).
What is the square root of 61350?
About 247.6893, exactly 5√2454.
Is 61350 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 61350?
61350 is a Harshad number: divisible by its digit sum 15.