The number 1462
1462 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 43. Divisors (8): 1, 2, 17, 34, 43, 86, 731, 1462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1462 is composite. Its prime factorisation is
- 3
The divisors add up to 2376; without 1462 itself that is 914, so 1462 is deficient (914 is less than 1462). Euler's totient φ(1462) = 672 numbers up to 1462 share no factor with it.
- 4
The digits of 1462 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1462 = 2 \times 17 \times 43 \]
1462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2376 |
| Euler totient φ(n) | 672 |
| Square | 2137444 |
| Cube | 3124943128 |
| Square root | 38.236109 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 1.462 × |
1462 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and sixty-two |
| Roman numerals | MCDLXII |
| Binary (base 2) | 10110110110 |
| Octal (base 8) | 2666 |
| Hexadecimal (base 16) | 5B6 |
| Base 3 | 2000011 |
| As time | 1462 seconds = 24 min 22 s |
Is 1462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1462 ÷ 2 = 731) | 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 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 | No (remainder 6) | 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 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1462 a prime number?
No. 1462 = 2 × 17 × 43, so it is divisible by 2.
What are the factors of 1462?
1, 2, 17, 34, 43, 86, 731, 1462.
What is 1462 in binary?
10110110110 (hexadecimal 5B6, octal 2666).
What is the square root of 1462?
About 38.2361.
What is 1462 in Roman numerals?
MCDLXII.
Is 1462 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1462?
It is a composite number with 8 divisors.