The number 61164
61164 is a composite number with 18 divisors. Its prime factorisation is × × 1699. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1699, 3398, 5097, 6796, 10194, 15291, 20388 … 61164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61164: a Harshad number: divisible by its digit sum 18.
- 2
61164 is composite. Its prime factorisation is
- 3
The divisors add up to 154700; without 61164 itself that is 93536, so 61164 is abundant (93536 is more than 61164). Euler's totient φ(61164) = 20376 numbers up to 61164 share no factor with it.
- 4
The digits of 61164 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61164 = 2^{2} \times 3^{2} \times 1699 \]61164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 154700 |
| Euler totient φ(n) | 20376 |
| Square | 3741034896 |
| Cube | 228816658378944 |
| Square root | 247.313566 (= 6√1699) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.1164 × |
61164 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and sixty-four |
| Binary (base 2) | 1110111011101100 |
| Octal (base 8) | 167354 |
| Hexadecimal (base 16) | EEEC |
| Base 3 | 10002220100 |
| As time | 61164 seconds = 16 h 59 min 24 s |
Is 61164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61164 ÷ 2 = 30582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61164 ÷ 3 = 20388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61164 ÷ 4 = 15291) | 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 | Yes (61164 ÷ 6 = 10194) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (61164 ÷ 9 = 6796) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61164 ÷ 12 = 5097) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61164 a prime number?
No. 61164 = × × 1699, so it is divisible by 2.
What are the factors of 61164?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1699, 3398, 5097, 6796, 10194, 15291, 20388, 30582, 61164.
What is 61164 in binary?
1110111011101100 (hexadecimal EEEC, octal 167354).
What is the square root of 61164?
About 247.3136, exactly 6√1699.
Is 61164 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61164?
61164 is a Harshad number: divisible by its digit sum 18.