The number 59944
59944 is a composite number with 16 divisors. Its prime factorisation is × 59 × 127. Divisors (16): 1, 2, 4, 8, 59, 118, 127, 236, 254, 472, 508, 1016, 7493, 14986, 29972, 59944.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59944: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59944 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 59944 itself that is 55256, so 59944 is deficient (55256 is less than 59944). Euler's totient φ(59944) = 29232 numbers up to 59944 share no factor with it.
- 4
The digits of 59944 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59944 = 2^{3} \times 59 \times 127 \]59944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 29232 |
| Square | 3593283136 |
| Cube | 215395764304384 |
| Square root | 244.834638 (= 2√14986) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.9944 × |
59944 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and forty-four |
| Binary (base 2) | 1110101000101000 |
| Octal (base 8) | 165050 |
| Hexadecimal (base 16) | EA28 |
| Base 3 | 10001020011 |
| As time | 59944 seconds = 16 h 39 min 4 s |
Is 59944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59944 ÷ 2 = 29972) | 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 (59944 ÷ 4 = 14986) | 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 | 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 (59944 ÷ 8 = 7493) | 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 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59944 a prime number?
No. 59944 = × 59 × 127, so it is divisible by 2.
What are the factors of 59944?
1, 2, 4, 8, 59, 118, 127, 236, 254, 472, 508, 1016, 7493, 14986, 29972, 59944.
What is 59944 in binary?
1110101000101000 (hexadecimal EA28, octal 165050).
What is the square root of 59944?
About 244.8346, exactly 2√14986.
Is 59944 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 59944?
59944 is a happy number: repeatedly adding the squares of its digits reaches 1.