The number 61993
61993 is a composite number with 4 divisors. Its prime factorisation is 47 × 1319. Divisors (4): 1, 47, 1319, 61993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61993: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 1319, the product of two primes.
- 2
61993 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 61993 itself that is 1367, so 61993 is deficient (1367 is less than 61993). Euler's totient φ(61993) = 60628 numbers up to 61993 share no factor with it.
- 4
The digits of 61993 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61993 = 47 \times 1319 \]
61993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 60628 |
| Square | 3843132049 |
| Cube | 238247285113657 |
| Square root | 248.983935 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.1993 × |
61993 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and ninety-three |
| Binary (base 2) | 1111001000101001 |
| Octal (base 8) | 171051 |
| Hexadecimal (base 16) | F229 |
| Base 3 | 10011001001 |
| As time | 61993 seconds = 17 h 13 min 13 s |
Is 61993 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 1) | 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 | No (remainder 8) | 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 61993 a prime number?
No. 61993 = 47 × 1319, so it is divisible by 47.
What are the factors of 61993?
1, 47, 1319, 61993.
What is 61993 in binary?
1111001000101001 (hexadecimal F229, octal 171051).
What is the square root of 61993?
About 248.9839.
Is 61993 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 61993?
61993 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 1319, the product of two primes.