The number 2573
2573 is a composite number with 4 divisors. Its prime factorisation is 31 × 83. Divisors (4): 1, 31, 83, 2573.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2573: a semiprime: 31 × 83, the product of two primes.
- 2
2573 is composite. Its prime factorisation is
- 3
The divisors add up to 2688; without 2573 itself that is 115, so 2573 is deficient (115 is less than 2573). Euler's totient φ(2573) = 2460 numbers up to 2573 share no factor with it.
- 4
The digits of 2573 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2573 = 31 \times 83 \]
2573 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2688 |
| Euler totient φ(n) | 2460 |
| Square | 6620329 |
| Cube | 17034106517 |
| Square root | 50.724747 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.573 × |
2573 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and seventy-three |
| Roman numerals | MMDLXXIII |
| Binary (base 2) | 101000001101 |
| Octal (base 8) | 5015 |
| Hexadecimal (base 16) | A0D |
| Base 3 | 10112022 |
| As time | 2573 seconds = 42 min 53 s |
Is 2573 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 3) | 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 4) | 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 8) | 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 10) | 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 2573 a prime number?
No. 2573 = 31 × 83, so it is divisible by 31.
What are the factors of 2573?
1, 31, 83, 2573.
What is 2573 in binary?
101000001101 (hexadecimal A0D, octal 5015).
What is the square root of 2573?
About 50.7247.
What is 2573 in Roman numerals?
MMDLXXIII.
Is 2573 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2573?
2573 is a semiprime: 31 × 83, the product of two primes.