The number 1476
1476 is a composite number with 18 divisors. Its prime factorisation is × × 41. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492 … 1476.
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How to work it out
- 1
What is special about 1476: a Harshad number: divisible by its digit sum 18.
- 2
1476 is composite. Its prime factorisation is
- 3
The divisors add up to 3822; without 1476 itself that is 2346, so 1476 is abundant (2346 is more than 1476). Euler's totient φ(1476) = 480 numbers up to 1476 share no factor with it.
- 4
The digits of 1476 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1476 = 2^{2} \times 3^{2} \times 41 \]1476 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 3822 |
| Euler totient φ(n) | 480 |
| Square | 2178576 |
| Cube | 3215578176 |
| Square root | 38.418745 (= 6√41) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 21 |
| Scientific notation | 1.476 × |
1476 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and seventy-six |
| Roman numerals | MCDLXXVI |
| Binary (base 2) | 10111000100 |
| Octal (base 8) | 2704 |
| Hexadecimal (base 16) | 5C4 |
| Base 3 | 2000200 |
| As time | 1476 seconds = 24 min 36 s |
Is 1476 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1476 ÷ 2 = 738) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1476 ÷ 3 = 492) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1476 ÷ 4 = 369) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1476 ÷ 6 = 246) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1476 ÷ 9 = 164) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1476 ÷ 12 = 123) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1476 a prime number?
No. 1476 = × × 41, so it is divisible by 2.
What are the factors of 1476?
1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476.
What is 1476 in binary?
10111000100 (hexadecimal 5C4, octal 2704).
What is the square root of 1476?
About 38.4187, exactly 6√41.
What is 1476 in Roman numerals?
MCDLXXVI.
Is 1476 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1476?
1476 is a Harshad number: divisible by its digit sum 18.