The number 59496
59496 is a composite number with 32 divisors. Its prime factorisation is × 3 × 37 × 67. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 37, 67, 74, 111, 134, 148, 201, 222 … 59496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59496: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59496 is composite. Its prime factorisation is
- 3
The divisors add up to 155040; without 59496 itself that is 95544, so 59496 is abundant (95544 is more than 59496). Euler's totient φ(59496) = 19008 numbers up to 59496 share no factor with it.
- 4
The digits of 59496 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59496 = 2^{3} \times 3 \times 37 \times 67 \]59496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 155040 |
| Euler totient φ(n) | 19008 |
| Square | 3539774016 |
| Cube | 210602394855936 |
| Square root | 243.918019 (= 2√14874) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9496 × |
59496 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and ninety-six |
| Binary (base 2) | 1110100001101000 |
| Octal (base 8) | 164150 |
| Hexadecimal (base 16) | E868 |
| Base 3 | 10000121120 |
| As time | 59496 seconds = 16 h 31 min 36 s |
Is 59496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59496 ÷ 2 = 29748) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59496 ÷ 3 = 19832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59496 ÷ 4 = 14874) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (59496 ÷ 6 = 9916) | 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 (59496 ÷ 8 = 7437) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59496 ÷ 12 = 4958) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59496 a prime number?
No. 59496 = × 3 × 37 × 67, so it is divisible by 2.
What are the factors of 59496?
1, 2, 3, 4, 6, 8, 12, 24, 37, 67, 74, 111, 134, 148, 201, 222, 268, 296, 402, 444, 536, 804, 888, 1608, 2479, 4958, 7437, 9916, 14874, 19832, 29748, 59496.
What is 59496 in binary?
1110100001101000 (hexadecimal E868, octal 164150).
What is the square root of 59496?
About 243.9180, exactly 2√14874.
Is 59496 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 59496?
59496 is a happy number: repeatedly adding the squares of its digits reaches 1.