The number 46137
46137 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × . Divisors (16): 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 2197, 3549, 6591, 15379, 46137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46137: a Harshad number: divisible by its digit sum 21.
- 2
46137 is composite. Its prime factorisation is
- 3
The divisors add up to 76160; without 46137 itself that is 30023, so 46137 is deficient (30023 is less than 46137). Euler's totient φ(46137) = 24336 numbers up to 46137 share no factor with it.
- 4
The digits of 46137 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46137 = 3 \times 7 \times 13^{3} \]46137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76160 |
| Euler totient φ(n) | 24336 |
| Square | 2128622769 |
| Cube | 98208268693353 |
| Square root | 214.795251 (= 13√273) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6137 × |
46137 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and thirty-seven |
| Binary (base 2) | 1011010000111001 |
| Octal (base 8) | 132071 |
| Hexadecimal (base 16) | B439 |
| Base 3 | 2100021210 |
| As time | 46137 seconds = 12 h 48 min 57 s |
Is 46137 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 | Yes (46137 ÷ 3 = 15379) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46137 ÷ 7 = 6591) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46137 a prime number?
No. 46137 = 3 × 7 × , so it is divisible by 3.
What are the factors of 46137?
1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 2197, 3549, 6591, 15379, 46137.
What is 46137 in binary?
1011010000111001 (hexadecimal B439, octal 132071).
What is the square root of 46137?
About 214.7953, exactly 13√273.
Is 46137 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46137?
46137 is a Harshad number: divisible by its digit sum 21.