The number 61407
61407 is a composite number with 6 divisors. Its prime factorisation is × 6823. Divisors (6): 1, 3, 9, 6823, 20469, 61407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61407 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61407 is composite. Its prime factorisation is
- 3
The divisors add up to 88712; without 61407 itself that is 27305, so 61407 is deficient (27305 is less than 61407). Euler's totient φ(61407) = 40932 numbers up to 61407 share no factor with it.
- 4
The digits of 61407 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61407 = 3^{2} \times 6823 \]61407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 88712 |
| Euler totient φ(n) | 40932 |
| Square | 3770819649 |
| Cube | 231554722186143 |
| Square root | 247.804358 (= 3√6823) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1407 × |
61407 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and seven |
| Binary (base 2) | 1110111111011111 |
| Octal (base 8) | 167737 |
| Hexadecimal (base 16) | EFDF |
| Base 3 | 10010020100 |
| As time | 61407 seconds = 17 h 3 min 27 s |
Is 61407 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61407 ÷ 3 = 20469) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61407 ÷ 9 = 6823) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61407 a prime number?
No. 61407 = × 6823, so it is divisible by 3.
What are the factors of 61407?
1, 3, 9, 6823, 20469, 61407.
What is 61407 in binary?
1110111111011111 (hexadecimal EFDF, octal 167737).
What is the square root of 61407?
About 247.8044, exactly 3√6823.
Is 61407 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61407?
It is a composite number with 6 divisors.