The number 74772
74772 is a composite number with 36 divisors. Its prime factorisation is × × 31 × 67. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 67, 93, 124, 134, 186 … 74772.
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How to work it out
- 1
What is special about 74772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74772 is composite. Its prime factorisation is
- 3
The divisors add up to 198016; without 74772 itself that is 123244, so 74772 is abundant (123244 is more than 74772). Euler's totient φ(74772) = 23760 numbers up to 74772 share no factor with it.
- 4
The digits of 74772 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74772 = 2^{2} \times 3^{2} \times 31 \times 67 \]74772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 198016 |
| Euler totient φ(n) | 23760 |
| Square | 5590851984 |
| Cube | 418039184547648 |
| Square root | 273.444693 (= 6√2077) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4772 × |
74772 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and seventy-two |
| Binary (base 2) | 10010010000010100 |
| Octal (base 8) | 222024 |
| Hexadecimal (base 16) | 12414 |
| Base 3 | 10210120100 |
| As time | 74772 seconds = 20 h 46 min 12 s |
Is 74772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74772 ÷ 2 = 37386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74772 ÷ 3 = 24924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74772 ÷ 4 = 18693) | 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 | Yes (74772 ÷ 6 = 12462) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74772 ÷ 9 = 8308) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74772 ÷ 12 = 6231) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74772 a prime number?
No. 74772 = × × 31 × 67, so it is divisible by 2.
What are the factors of 74772?
1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 67, 93, 124, 134, 186, 201, 268, 279, 372, 402, 558, 603, 804, 1116, 1206, 2077, 2412, 4154, 6231, 8308, 12462, 18693, 24924, 37386, 74772.
What is 74772 in binary?
10010010000010100 (hexadecimal 12414, octal 222024).
What is the square root of 74772?
About 273.4447, exactly 6√2077.
Is 74772 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74772?
74772 is a happy number: repeatedly adding the squares of its digits reaches 1.