The number 46215
46215 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 79. Divisors (24): 1, 3, 5, 9, 13, 15, 39, 45, 65, 79, 117, 195, 237, 395, 585, 711 … 46215.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46215: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46215 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 46215 itself that is 41145, so 46215 is deficient (41145 is less than 46215). Euler's totient φ(46215) = 22464 numbers up to 46215 share no factor with it.
- 4
The digits of 46215 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46215 = 3^{2} \times 5 \times 13 \times 79 \]46215 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 22464 |
| Square | 2135826225 |
| Cube | 98707208988375 |
| Square root | 214.976743 (= 3√5135) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6215 × |
46215 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand two hundred and fifteen |
| Binary (base 2) | 1011010010000111 |
| Octal (base 8) | 132207 |
| Hexadecimal (base 16) | B487 |
| Base 3 | 2100101200 |
| As time | 46215 seconds = 12 h 50 min 15 s |
Is 46215 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 (46215 ÷ 3 = 15405) | 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 (46215 ÷ 5 = 9243) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46215 ÷ 9 = 5135) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46215 a prime number?
No. 46215 = × 5 × 13 × 79, so it is divisible by 3.
What are the factors of 46215?
1, 3, 5, 9, 13, 15, 39, 45, 65, 79, 117, 195, 237, 395, 585, 711, 1027, 1185, 3081, 3555, 5135, 9243, 15405, 46215.
What is 46215 in binary?
1011010010000111 (hexadecimal B487, octal 132207).
What is the square root of 46215?
About 214.9767, exactly 3√5135.
Is 46215 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46215?
46215 is a happy number: repeatedly adding the squares of its digits reaches 1.