The number 46375
46375 is a composite number with 16 divisors. Its prime factorisation is × 7 × 53. Divisors (16): 1, 5, 7, 25, 35, 53, 125, 175, 265, 371, 875, 1325, 1855, 6625, 9275, 46375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46375: a Harshad number: divisible by its digit sum 25.
- 2
46375 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 46375 itself that is 21017, so 46375 is deficient (21017 is less than 46375). Euler's totient φ(46375) = 31200 numbers up to 46375 share no factor with it.
- 4
The digits of 46375 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46375 = 5^{3} \times 7 \times 53 \]46375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 31200 |
| Square | 2150640625 |
| Cube | 99735958984375 |
| Square root | 215.348555 (= 5√1855) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.6375 × |
46375 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and seventy-five |
| Binary (base 2) | 1011010100100111 |
| Octal (base 8) | 132447 |
| Hexadecimal (base 16) | B527 |
| Base 3 | 2100121121 |
| As time | 46375 seconds = 12 h 52 min 55 s |
Is 46375 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46375 ÷ 5 = 9275) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46375 ÷ 7 = 6625) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46375 a prime number?
No. 46375 = × 7 × 53, so it is divisible by 5.
What are the factors of 46375?
1, 5, 7, 25, 35, 53, 125, 175, 265, 371, 875, 1325, 1855, 6625, 9275, 46375.
What is 46375 in binary?
1011010100100111 (hexadecimal B527, octal 132447).
What is the square root of 46375?
About 215.3486, exactly 5√1855.
Is 46375 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46375?
46375 is a Harshad number: divisible by its digit sum 25.