The number 73949
73949 is a composite number with 4 divisors. Its prime factorisation is 73 × 1013. Divisors (4): 1, 73, 1013, 73949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73949: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 1013, the product of two primes.
- 2
73949 is composite. Its prime factorisation is
- 3
The divisors add up to 75036; without 73949 itself that is 1087, so 73949 is deficient (1087 is less than 73949). Euler's totient φ(73949) = 72864 numbers up to 73949 share no factor with it.
- 4
The digits of 73949 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73949 = 73 \times 1013 \]
73949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 75036 |
| Euler totient φ(n) | 72864 |
| Square | 5468454601 |
| Cube | 404386749289349 |
| Square root | 271.935654 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3949 × |
73949 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and forty-nine |
| Binary (base 2) | 10010000011011101 |
| Octal (base 8) | 220335 |
| Hexadecimal (base 16) | 120DD |
| Base 3 | 10202102212 |
| As time | 73949 seconds = 20 h 32 min 29 s |
Is 73949 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 2) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73949 a prime number?
No. 73949 = 73 × 1013, so it is divisible by 73.
What are the factors of 73949?
1, 73, 1013, 73949.
What is 73949 in binary?
10010000011011101 (hexadecimal 120DD, octal 220335).
What is the square root of 73949?
About 271.9357.
Is 73949 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 73949?
73949 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 1013, the product of two primes.