The number 61633
61633 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 431. Divisors (8): 1, 11, 13, 143, 431, 4741, 5603, 61633.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61633: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61633 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 61633 itself that is 10943, so 61633 is deficient (10943 is less than 61633). Euler's totient φ(61633) = 51600 numbers up to 61633 share no factor with it.
- 4
The digits of 61633 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
\[ 61633 = 11 \times 13 \times 431 \]
61633 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 51600 |
| Square | 3798626689 |
| Cube | 234120758723137 |
| Square root | 248.259944 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.1633 × |
61633 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and thirty-three |
| Binary (base 2) | 1111000011000001 |
| Octal (base 8) | 170301 |
| Hexadecimal (base 16) | F0C1 |
| Base 3 | 10010112201 |
| As time | 61633 seconds = 17 h 7 min 13 s |
Is 61633 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 | No (remainder 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (61633 ÷ 11 = 5603) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61633 a prime number?
No. 61633 = 11 × 13 × 431, so it is divisible by 11.
What are the factors of 61633?
1, 11, 13, 143, 431, 4741, 5603, 61633.
What is 61633 in binary?
1111000011000001 (hexadecimal F0C1, octal 170301).
What is the square root of 61633?
About 248.2599.
Is 61633 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61633?
61633 is a happy number: repeatedly adding the squares of its digits reaches 1.