The number 46374
46374 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 59 × 131. Divisors (16): 1, 2, 3, 6, 59, 118, 131, 177, 262, 354, 393, 786, 7729, 15458, 23187, 46374.
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How to work it out
- 1
46374 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46374 is composite. Its prime factorisation is
- 3
The divisors add up to 95040; without 46374 itself that is 48666, so 46374 is abundant (48666 is more than 46374). Euler's totient φ(46374) = 15080 numbers up to 46374 share no factor with it.
- 4
The digits of 46374 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46374 = 2 \times 3 \times 59 \times 131 \]
46374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95040 |
| Euler totient φ(n) | 15080 |
| Square | 2150547876 |
| Cube | 99729507201624 |
| Square root | 215.346233 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.6374 × |
46374 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and seventy-four |
| Binary (base 2) | 1011010100100110 |
| Octal (base 8) | 132446 |
| Hexadecimal (base 16) | B526 |
| Base 3 | 2100121120 |
| As time | 46374 seconds = 12 h 52 min 54 s |
Is 46374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46374 ÷ 2 = 23187) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46374 ÷ 3 = 15458) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46374 ÷ 6 = 7729) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 46374 a prime number?
No. 46374 = 2 × 3 × 59 × 131, so it is divisible by 2.
What are the factors of 46374?
1, 2, 3, 6, 59, 118, 131, 177, 262, 354, 393, 786, 7729, 15458, 23187, 46374.
What is 46374 in binary?
1011010100100110 (hexadecimal B526, octal 132446).
What is the square root of 46374?
About 215.3462.
Is 46374 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46374?
It is a composite number with 16 divisors.