The number 61408
61408 is a composite number with 24 divisors. Its prime factorisation is × 19 × 101. Divisors (24): 1, 2, 4, 8, 16, 19, 32, 38, 76, 101, 152, 202, 304, 404, 608, 808 … 61408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61408: a Harshad number: divisible by its digit sum 19.
- 2
61408 is composite. Its prime factorisation is
- 3
The divisors add up to 128520; without 61408 itself that is 67112, so 61408 is abundant (67112 is more than 61408). Euler's totient φ(61408) = 28800 numbers up to 61408 share no factor with it.
- 4
The digits of 61408 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61408 = 2^{5} \times 19 \times 101 \]61408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 128520 |
| Euler totient φ(n) | 28800 |
| Square | 3770942464 |
| Cube | 231566034829312 |
| Square root | 247.806376 (= 4√3838) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.1408 × |
61408 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and eight |
| Binary (base 2) | 1110111111100000 |
| Octal (base 8) | 167740 |
| Hexadecimal (base 16) | EFE0 |
| Base 3 | 10010020101 |
| As time | 61408 seconds = 17 h 3 min 28 s |
Is 61408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61408 ÷ 2 = 30704) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61408 ÷ 4 = 15352) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (61408 ÷ 8 = 7676) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61408 a prime number?
No. 61408 = × 19 × 101, so it is divisible by 2.
What are the factors of 61408?
1, 2, 4, 8, 16, 19, 32, 38, 76, 101, 152, 202, 304, 404, 608, 808, 1616, 1919, 3232, 3838, 7676, 15352, 30704, 61408.
What is 61408 in binary?
1110111111100000 (hexadecimal EFE0, octal 167740).
What is the square root of 61408?
About 247.8064, exactly 4√3838.
Is 61408 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61408?
61408 is a Harshad number: divisible by its digit sum 19.