The number 63440
63440 is a composite number with 40 divisors. Its prime factorisation is × 5 × 13 × 61. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 61, 65, 80, 104 … 63440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
63440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
63440 is composite. Its prime factorisation is
- 3
The divisors add up to 161448; without 63440 itself that is 98008, so 63440 is abundant (98008 is more than 63440). Euler's totient φ(63440) = 23040 numbers up to 63440 share no factor with it.
- 4
The digits of 63440 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63440 = 2^{4} \times 5 \times 13 \times 61 \]63440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 161448 |
| Euler totient φ(n) | 23040 |
| Square | 4024633600 |
| Cube | 255322755584000 |
| Square root | 251.872984 (= 4√3965) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 6.344 × |
63440 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand four hundred and forty |
| Binary (base 2) | 1111011111010000 |
| Octal (base 8) | 173720 |
| Hexadecimal (base 16) | F7D0 |
| Base 3 | 10020000122 |
| As time | 63440 seconds = 17 h 37 min 20 s |
Is 63440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (63440 ÷ 2 = 31720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (63440 ÷ 4 = 15860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (63440 ÷ 5 = 12688) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (63440 ÷ 8 = 7930) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (63440 ÷ 10 = 6344) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 63440 a prime number?
No. 63440 = × 5 × 13 × 61, so it is divisible by 2.
What are the factors of 63440?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 61, 65, 80, 104, 122, 130, 208, 244, 260, 305, 488, 520, 610, 793, 976, 1040, 1220, 1586, 2440, 3172, 3965, 4880, 6344, 7930, 12688, 15860, 31720, 63440.
What is 63440 in binary?
1111011111010000 (hexadecimal F7D0, octal 173720).
What is the square root of 63440?
About 251.8730, exactly 4√3965.
Is 63440 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 63440?
It is a composite number with 40 divisors.