The number 61464
61464 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 197. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 197 … 61464.
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How to work it out
- 1
61464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61464 is composite. Its prime factorisation is
- 3
The divisors add up to 166320; without 61464 itself that is 104856, so 61464 is abundant (104856 is more than 61464). Euler's totient φ(61464) = 18816 numbers up to 61464 share no factor with it.
- 4
The digits of 61464 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61464 = 2^{3} \times 3 \times 13 \times 197 \]61464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 166320 |
| Euler totient φ(n) | 18816 |
| Square | 3777823296 |
| Cube | 232200131065344 |
| Square root | 247.919342 (= 2√15366) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.1464 × |
61464 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and sixty-four |
| Binary (base 2) | 1111000000011000 |
| Octal (base 8) | 170030 |
| Hexadecimal (base 16) | F018 |
| Base 3 | 10010022110 |
| As time | 61464 seconds = 17 h 4 min 24 s |
Is 61464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61464 ÷ 2 = 30732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61464 ÷ 3 = 20488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61464 ÷ 4 = 15366) | 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 (61464 ÷ 6 = 10244) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (61464 ÷ 8 = 7683) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61464 ÷ 12 = 5122) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61464 a prime number?
No. 61464 = × 3 × 13 × 197, so it is divisible by 2.
What are the factors of 61464?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 197, 312, 394, 591, 788, 1182, 1576, 2364, 2561, 4728, 5122, 7683, 10244, 15366, 20488, 30732, 61464.
What is 61464 in binary?
1111000000011000 (hexadecimal F018, octal 170030).
What is the square root of 61464?
About 247.9193, exactly 2√15366.
Is 61464 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 61464?
It is a composite number with 32 divisors.