The number 74746
74746 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 19 × 281. Divisors (16): 1, 2, 7, 14, 19, 38, 133, 266, 281, 562, 1967, 3934, 5339, 10678, 37373, 74746.
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How to work it out
- 1
74746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74746 is composite. Its prime factorisation is
- 3
The divisors add up to 135360; without 74746 itself that is 60614, so 74746 is deficient (60614 is less than 74746). Euler's totient φ(74746) = 30240 numbers up to 74746 share no factor with it.
- 4
The digits of 74746 add up to 28, 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
\[ 74746 = 2 \times 7 \times 19 \times 281 \]
74746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 135360 |
| Euler totient φ(n) | 30240 |
| Square | 5586964516 |
| Cube | 417603249712936 |
| Square root | 273.397147 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4746 × |
74746 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and forty-six |
| Binary (base 2) | 10010001111111010 |
| Octal (base 8) | 221772 |
| Hexadecimal (base 16) | 123FA |
| Base 3 | 10210112101 |
| As time | 74746 seconds = 20 h 45 min 46 s |
Is 74746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74746 ÷ 2 = 37373) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (74746 ÷ 7 = 10678) | 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 2) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74746 a prime number?
No. 74746 = 2 × 7 × 19 × 281, so it is divisible by 2.
What are the factors of 74746?
1, 2, 7, 14, 19, 38, 133, 266, 281, 562, 1967, 3934, 5339, 10678, 37373, 74746.
What is 74746 in binary?
10010001111111010 (hexadecimal 123FA, octal 221772).
What is the square root of 74746?
About 273.3971.
Is 74746 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 74746?
It is a composite number with 16 divisors.