The number 74220
74220 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1237. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1237, 2474, 3711, 4948 … 74220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74220: a Harshad number: divisible by its digit sum 15.
- 2
74220 is composite. Its prime factorisation is
- 3
The divisors add up to 207984; without 74220 itself that is 133764, so 74220 is abundant (133764 is more than 74220). Euler's totient φ(74220) = 19776 numbers up to 74220 share no factor with it.
- 4
The digits of 74220 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
\[ 74220 = 2^{2} \times 3 \times 5 \times 1237 \]74220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 207984 |
| Euler totient φ(n) | 19776 |
| Square | 5508608400 |
| Cube | 408848915448000 |
| Square root | 272.433478 (= 2√18555) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.422 × |
74220 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand two hundred and twenty |
| Binary (base 2) | 10010000111101100 |
| Octal (base 8) | 220754 |
| Hexadecimal (base 16) | 121EC |
| Base 3 | 10202210220 |
| As time | 74220 seconds = 20 h 37 min 0 s |
Is 74220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74220 ÷ 2 = 37110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74220 ÷ 3 = 24740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74220 ÷ 4 = 18555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74220 ÷ 5 = 14844) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74220 ÷ 6 = 12370) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74220 ÷ 10 = 7422) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74220 ÷ 12 = 6185) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74220 a prime number?
No. 74220 = × 3 × 5 × 1237, so it is divisible by 2.
What are the factors of 74220?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1237, 2474, 3711, 4948, 6185, 7422, 12370, 14844, 18555, 24740, 37110, 74220.
What is 74220 in binary?
10010000111101100 (hexadecimal 121EC, octal 220754).
What is the square root of 74220?
About 272.4335, exactly 2√18555.
Is 74220 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 74220?
74220 is a Harshad number: divisible by its digit sum 15.