The number 74502
74502 is a composite number with 12 divisors. Its prime factorisation is 2 × × 4139. Divisors (12): 1, 2, 3, 6, 9, 18, 4139, 8278, 12417, 24834, 37251, 74502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74502: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
74502 is composite. Its prime factorisation is
- 3
The divisors add up to 161460; without 74502 itself that is 86958, so 74502 is abundant (86958 is more than 74502). Euler's totient φ(74502) = 24828 numbers up to 74502 share no factor with it.
- 4
The digits of 74502 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74502 = 2 \times 3^{2} \times 4139 \]74502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 161460 |
| Euler totient φ(n) | 24828 |
| Square | 5550548004 |
| Cube | 413526927394008 |
| Square root | 272.950545 (= 3√8278) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4502 × |
74502 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand five hundred and two |
| Binary (base 2) | 10010001100000110 |
| Octal (base 8) | 221406 |
| Hexadecimal (base 16) | 12306 |
| Base 3 | 10210012100 |
| As time | 74502 seconds = 20 h 41 min 42 s |
Is 74502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74502 ÷ 2 = 37251) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74502 ÷ 3 = 24834) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74502 ÷ 6 = 12417) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (74502 ÷ 9 = 8278) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74502 a prime number?
No. 74502 = 2 × × 4139, so it is divisible by 2.
What are the factors of 74502?
1, 2, 3, 6, 9, 18, 4139, 8278, 12417, 24834, 37251, 74502.
What is 74502 in binary?
10010001100000110 (hexadecimal 12306, octal 221406).
What is the square root of 74502?
About 272.9505, exactly 3√8278.
Is 74502 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74502?
74502 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.