The number 73498
73498 is a composite number with 4 divisors. Its prime factorisation is 2 × 36749. Divisors (4): 1, 2, 36749, 73498.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73498: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36749, the product of two primes.
- 2
73498 is composite. Its prime factorisation is
- 3
The divisors add up to 110250; without 73498 itself that is 36752, so 73498 is deficient (36752 is less than 73498). Euler's totient φ(73498) = 36748 numbers up to 73498 share no factor with it.
- 4
The digits of 73498 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73498 = 2 \times 36749 \]
73498 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 110250 |
| Euler totient φ(n) | 36748 |
| Square | 5401956004 |
| Cube | 397032962381992 |
| Square root | 271.105146 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3498 × |
73498 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and ninety-eight |
| Binary (base 2) | 10001111100011010 |
| Octal (base 8) | 217432 |
| Hexadecimal (base 16) | 11F1A |
| Base 3 | 10201211011 |
| As time | 73498 seconds = 20 h 24 min 58 s |
Is 73498 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73498 ÷ 2 = 36749) | 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 2) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73498 a prime number?
No. 73498 = 2 × 36749, so it is divisible by 2.
What are the factors of 73498?
1, 2, 36749, 73498.
What is 73498 in binary?
10001111100011010 (hexadecimal 11F1A, octal 217432).
What is the square root of 73498?
About 271.1051.
Is 73498 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 73498?
73498 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36749, the product of two primes.