The number 59409
59409 is a composite number with 24 divisors. Its prime factorisation is × 7 × 23 × 41. Divisors (24): 1, 3, 7, 9, 21, 23, 41, 63, 69, 123, 161, 207, 287, 369, 483, 861 … 59409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59409: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59409 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 59409 itself that is 45423, so 59409 is deficient (45423 is less than 59409). Euler's totient φ(59409) = 31680 numbers up to 59409 share no factor with it.
- 4
The digits of 59409 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59409 = 3^{2} \times 7 \times 23 \times 41 \]59409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 31680 |
| Square | 3529429281 |
| Cube | 209679864154929 |
| Square root | 243.739615 (= 3√6601) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9409 × |
59409 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and nine |
| Binary (base 2) | 1110100000010001 |
| Octal (base 8) | 164021 |
| Hexadecimal (base 16) | E811 |
| Base 3 | 10000111100 |
| As time | 59409 seconds = 16 h 30 min 9 s |
Is 59409 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59409 ÷ 3 = 19803) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (59409 ÷ 7 = 8487) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59409 ÷ 9 = 6601) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59409 a prime number?
No. 59409 = × 7 × 23 × 41, so it is divisible by 3.
What are the factors of 59409?
1, 3, 7, 9, 21, 23, 41, 63, 69, 123, 161, 207, 287, 369, 483, 861, 943, 1449, 2583, 2829, 6601, 8487, 19803, 59409.
What is 59409 in binary?
1110100000010001 (hexadecimal E811, octal 164021).
What is the square root of 59409?
About 243.7396, exactly 3√6601.
Is 59409 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59409?
59409 is a happy number: repeatedly adding the squares of its digits reaches 1.