The number 59440
59440 is a composite number with 20 divisors. Its prime factorisation is × 5 × 743. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 743, 1486, 2972, 3715, 5944, 7430 … 59440.
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How to work it out
- 1
59440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59440 is composite. Its prime factorisation is
- 3
The divisors add up to 138384; without 59440 itself that is 78944, so 59440 is abundant (78944 is more than 59440). Euler's totient φ(59440) = 23744 numbers up to 59440 share no factor with it.
- 4
The digits of 59440 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59440 = 2^{4} \times 5 \times 743 \]59440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 138384 |
| Euler totient φ(n) | 23744 |
| Square | 3533113600 |
| Cube | 210008272384000 |
| Square root | 243.803199 (= 4√3715) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 5.944 × |
59440 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and forty |
| Binary (base 2) | 1110100000110000 |
| Octal (base 8) | 164060 |
| Hexadecimal (base 16) | E830 |
| Base 3 | 10000112111 |
| As time | 59440 seconds = 16 h 30 min 40 s |
Is 59440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59440 ÷ 2 = 29720) | 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 (59440 ÷ 4 = 14860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59440 ÷ 5 = 11888) | 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 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 | Yes (59440 ÷ 8 = 7430) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59440 ÷ 10 = 5944) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59440 a prime number?
No. 59440 = × 5 × 743, so it is divisible by 2.
What are the factors of 59440?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 743, 1486, 2972, 3715, 5944, 7430, 11888, 14860, 29720, 59440.
What is 59440 in binary?
1110100000110000 (hexadecimal E830, octal 164060).
What is the square root of 59440?
About 243.8032, exactly 4√3715.
Is 59440 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 59440?
It is a composite number with 20 divisors.