The number 74750
74750 is a composite number with 32 divisors. Its prime factorisation is 2 × × 13 × 23. Divisors (32): 1, 2, 5, 10, 13, 23, 25, 26, 46, 50, 65, 115, 125, 130, 230, 250 … 74750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74750: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.
- 2
74750 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 74750 itself that is 82498, so 74750 is abundant (82498 is more than 74750). Euler's totient φ(74750) = 26400 numbers up to 74750 share no factor with it.
- 4
The digits of 74750 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 262 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74750 = 2 \times 5^{3} \times 13 \times 23 \]74750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 26400 |
| Square | 5587562500 |
| Cube | 417670296875000 |
| Square root | 273.404462 (= 5√2990) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 262 |
| Scientific notation | 7.475 × |
74750 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and fifty |
| Binary (base 2) | 10010001111111110 |
| Octal (base 8) | 221776 |
| Hexadecimal (base 16) | 123FE |
| Base 3 | 10210112112 |
| As time | 74750 seconds = 20 h 45 min 50 s |
Is 74750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74750 ÷ 2 = 37375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (74750 ÷ 5 = 14950) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74750 ÷ 10 = 7475) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74750 a prime number?
No. 74750 = 2 × × 13 × 23, so it is divisible by 2.
What are the factors of 74750?
1, 2, 5, 10, 13, 23, 25, 26, 46, 50, 65, 115, 125, 130, 230, 250, 299, 325, 575, 598, 650, 1150, 1495, 1625, 2875, 2990, 3250, 5750, 7475, 14950, 37375, 74750.
What is 74750 in binary?
10010001111111110 (hexadecimal 123FE, octal 221776).
What is the square root of 74750?
About 273.4045, exactly 5√2990.
Is 74750 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74750?
74750 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.