The number 74272
74272 is a composite number with 24 divisors. Its prime factorisation is × 11 × 211. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 211, 352, 422, 844, 1688 … 74272.
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How to work it out
- 1
What is special about 74272: a Harshad number: divisible by its digit sum 22.
- 2
74272 is composite. Its prime factorisation is
- 3
The divisors add up to 160272; without 74272 itself that is 86000, so 74272 is abundant (86000 is more than 74272). Euler's totient φ(74272) = 33600 numbers up to 74272 share no factor with it.
- 4
The digits of 74272 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74272 = 2^{5} \times 11 \times 211 \]74272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 160272 |
| Euler totient φ(n) | 33600 |
| Square | 5516329984 |
| Cube | 409708860571648 |
| Square root | 272.528898 (= 4√4642) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4272 × |
74272 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand two hundred and seventy-two |
| Binary (base 2) | 10010001000100000 |
| Octal (base 8) | 221040 |
| Hexadecimal (base 16) | 12220 |
| Base 3 | 10202212211 |
| As time | 74272 seconds = 20 h 37 min 52 s |
Is 74272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74272 ÷ 2 = 37136) | 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 | Yes (74272 ÷ 4 = 18568) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 | Yes (74272 ÷ 8 = 9284) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (74272 ÷ 11 = 6752) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74272 a prime number?
No. 74272 = × 11 × 211, so it is divisible by 2.
What are the factors of 74272?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 211, 352, 422, 844, 1688, 2321, 3376, 4642, 6752, 9284, 18568, 37136, 74272.
What is 74272 in binary?
10010001000100000 (hexadecimal 12220, octal 221040).
What is the square root of 74272?
About 272.5289, exactly 4√4642.
Is 74272 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 74272?
74272 is a Harshad number: divisible by its digit sum 22.