The number 74800
74800 is a composite number with 60 divisors. Its prime factorisation is × × 11 × 17. Divisors (60): 1, 2, 4, 5, 8, 10, 11, 16, 17, 20, 22, 25, 34, 40, 44, 50 … 74800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74800: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74800 is composite. Its prime factorisation is
- 3
The divisors add up to 207576; without 74800 itself that is 132776, so 74800 is abundant (132776 is more than 74800). Euler's totient φ(74800) = 25600 numbers up to 74800 share no factor with it.
- 4
The digits of 74800 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74800 = 2^{4} \times 5^{2} \times 11 \times 17 \]74800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 207576 |
| Euler totient φ(n) | 25600 |
| Square | 5595040000 |
| Cube | 418508992000000 |
| Square root | 273.495887 (= 20√187) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.48 × |
74800 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand eight hundred |
| Binary (base 2) | 10010010000110000 |
| Octal (base 8) | 222060 |
| Hexadecimal (base 16) | 12430 |
| Base 3 | 10210121101 |
| As time | 74800 seconds = 20 h 46 min 40 s |
Is 74800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74800 ÷ 2 = 37400) | 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 (74800 ÷ 4 = 18700) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74800 ÷ 5 = 14960) | 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 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 | Yes (74800 ÷ 8 = 9350) | 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 | Yes (74800 ÷ 10 = 7480) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (74800 ÷ 11 = 6800) | 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 74800 a prime number?
No. 74800 = × × 11 × 17, so it is divisible by 2.
What are the factors of 74800?
1, 2, 4, 5, 8, 10, 11, 16, 17, 20, 22, 25, 34, 40, 44, 50, 55, 68, 80, 85, 88, 100, 110, 136, 170, 176, 187, 200, 220, 272, 275, 340, 374, 400, 425, 440, 550, 680, 748, 850, 880, 935, 1100, 1360, 1496, 1700, 1870, 2200, 2992, 3400, 3740, 4400, 4675, 6800, 7480, 9350, 14960, 18700, 37400, 74800.
What is 74800 in binary?
10010010000110000 (hexadecimal 12430, octal 222060).
What is the square root of 74800?
About 273.4959, exactly 20√187.
Is 74800 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 74800?
74800 is a happy number: repeatedly adding the squares of its digits reaches 1.