The number 2512
2512 is a composite number with 10 divisors. Its prime factorisation is × 157. Divisors (10): 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2512 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2512 is composite. Its prime factorisation is
- 3
The divisors add up to 4898; without 2512 itself that is 2386, so 2512 is deficient (2386 is less than 2512). Euler's totient φ(2512) = 1248 numbers up to 2512 share no factor with it.
- 4
The digits of 2512 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2512 = 2^{4} \times 157 \]2512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 4898 |
| Euler totient φ(n) | 1248 |
| Square | 6310144 |
| Cube | 15851081728 |
| Square root | 50.119856 (= 4√157) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.512 × |
2512 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and twelve |
| Roman numerals | MMDXII |
| Binary (base 2) | 100111010000 |
| Octal (base 8) | 4720 |
| Hexadecimal (base 16) | 9D0 |
| Base 3 | 10110001 |
| As time | 2512 seconds = 41 min 52 s |
Is 2512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2512 ÷ 2 = 1256) | 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 | Yes (2512 ÷ 4 = 628) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 | Yes (2512 ÷ 8 = 314) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2512 a prime number?
No. 2512 = × 157, so it is divisible by 2.
What are the factors of 2512?
1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512.
What is 2512 in binary?
100111010000 (hexadecimal 9D0, octal 4720).
What is the square root of 2512?
About 50.1199, exactly 4√157.
What is 2512 in Roman numerals?
MMDXII.
Is 2512 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2512?
It is a composite number with 10 divisors.