The number 60436
60436 is a composite number with 12 divisors. Its prime factorisation is × 29 × 521. Divisors (12): 1, 2, 4, 29, 58, 116, 521, 1042, 2084, 15109, 30218, 60436.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60436: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60436 is composite. Its prime factorisation is
- 3
The divisors add up to 109620; without 60436 itself that is 49184, so 60436 is deficient (49184 is less than 60436). Euler's totient φ(60436) = 29120 numbers up to 60436 share no factor with it.
- 4
The digits of 60436 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60436 = 2^{2} \times 29 \times 521 \]60436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109620 |
| Euler totient φ(n) | 29120 |
| Square | 3652510096 |
| Cube | 220743100161856 |
| Square root | 245.837345 (= 2√15109) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.0436 × |
60436 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand four hundred and thirty-six |
| Binary (base 2) | 1110110000010100 |
| Octal (base 8) | 166024 |
| Hexadecimal (base 16) | EC14 |
| Base 3 | 10001220101 |
| As time | 60436 seconds = 16 h 47 min 16 s |
Is 60436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60436 ÷ 2 = 30218) | 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 (60436 ÷ 4 = 15109) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 60436 a prime number?
No. 60436 = × 29 × 521, so it is divisible by 2.
What are the factors of 60436?
1, 2, 4, 29, 58, 116, 521, 1042, 2084, 15109, 30218, 60436.
What is 60436 in binary?
1110110000010100 (hexadecimal EC14, octal 166024).
What is the square root of 60436?
About 245.8373, exactly 2√15109.
Is 60436 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 60436?
60436 is a happy number: repeatedly adding the squares of its digits reaches 1.