The number 1474
1474 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 67. Divisors (8): 1, 2, 11, 22, 67, 134, 737, 1474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1474: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1474 is composite. Its prime factorisation is
- 3
The divisors add up to 2448; without 1474 itself that is 974, so 1474 is deficient (974 is less than 1474). Euler's totient φ(1474) = 660 numbers up to 1474 share no factor with it.
- 4
The digits of 1474 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1474 = 2 \times 11 \times 67 \]
1474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2448 |
| Euler totient φ(n) | 660 |
| Square | 2172676 |
| Cube | 3202524424 |
| Square root | 38.392708 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 1.474 × |
1474 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and seventy-four |
| Roman numerals | MCDLXXIV |
| Binary (base 2) | 10111000010 |
| Octal (base 8) | 2702 |
| Hexadecimal (base 16) | 5C2 |
| Base 3 | 2000121 |
| As time | 1474 seconds = 24 min 34 s |
Is 1474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1474 ÷ 2 = 737) | 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 4) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1474 ÷ 11 = 134) | 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 1474 a prime number?
No. 1474 = 2 × 11 × 67, so it is divisible by 2.
What are the factors of 1474?
1, 2, 11, 22, 67, 134, 737, 1474.
What is 1474 in binary?
10111000010 (hexadecimal 5C2, octal 2702).
What is the square root of 1474?
About 38.3927.
What is 1474 in Roman numerals?
MCDLXXIV.
Is 1474 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1474?
1474 is a happy number: repeatedly adding the squares of its digits reaches 1.