The number 874
874 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 23. Divisors (8): 1, 2, 19, 23, 38, 46, 437, 874.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 874: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
874 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 874 itself that is 566, so 874 is deficient (566 is less than 874). Euler's totient φ(874) = 396 numbers up to 874 share no factor with it.
- 4
The digits of 874 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 874 = 2 \times 19 \times 23 \]
874 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 396 |
| Square | 763876 |
| Cube | 667627624 |
| Square root | 29.563491 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 116 |
| Scientific notation | 8.74 × |
874 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and seventy-four |
| Roman numerals | DCCCLXXIV |
| Binary (base 2) | 1101101010 |
| Octal (base 8) | 1552 |
| Hexadecimal (base 16) | 36A |
| Base 3 | 1012101 |
| As time | 874 seconds = 14 min 34 s |
Is 874 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (874 ÷ 2 = 437) | 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 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 874 a prime number?
No. 874 = 2 × 19 × 23, so it is divisible by 2.
What are the factors of 874?
1, 2, 19, 23, 38, 46, 437, 874.
What is 874 in binary?
1101101010 (hexadecimal 36A, octal 1552).
What is the square root of 874?
About 29.5635.
What is 874 in Roman numerals?
DCCCLXXIV.
Is 874 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 874?
874 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.