The number 74310
74310 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2477. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2477, 4954, 7431, 12385, 14862, 24770, 37155, 74310.
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How to work it out
- 1
What is special about 74310: a Harshad number: divisible by its digit sum 15.
- 2
74310 is composite. Its prime factorisation is
- 3
The divisors add up to 178416; without 74310 itself that is 104106, so 74310 is abundant (104106 is more than 74310). Euler's totient φ(74310) = 19808 numbers up to 74310 share no factor with it.
- 4
The digits of 74310 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74310 = 2 \times 3 \times 5 \times 2477 \]
74310 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 178416 |
| Euler totient φ(n) | 19808 |
| Square | 5521976100 |
| Cube | 410338043991000 |
| Square root | 272.598606 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.431 × |
74310 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand three hundred and ten |
| Binary (base 2) | 10010001001000110 |
| Octal (base 8) | 221106 |
| Hexadecimal (base 16) | 12246 |
| Base 3 | 10202221020 |
| As time | 74310 seconds = 20 h 38 min 30 s |
Is 74310 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74310 ÷ 2 = 37155) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74310 ÷ 3 = 24770) | 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 | Yes (74310 ÷ 5 = 14862) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74310 ÷ 6 = 12385) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74310 ÷ 10 = 7431) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74310 a prime number?
No. 74310 = 2 × 3 × 5 × 2477, so it is divisible by 2.
What are the factors of 74310?
1, 2, 3, 5, 6, 10, 15, 30, 2477, 4954, 7431, 12385, 14862, 24770, 37155, 74310.
What is 74310 in binary?
10010001001000110 (hexadecimal 12246, octal 221106).
What is the square root of 74310?
About 272.5986.
Is 74310 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 74310?
74310 is a Harshad number: divisible by its digit sum 15.