The number 46900
46900 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 67. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 67, 70, 100, 134 … 46900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46900: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46900 is composite. Its prime factorisation is
- 3
The divisors add up to 118048; without 46900 itself that is 71148, so 46900 is abundant (71148 is more than 46900). Euler's totient φ(46900) = 15840 numbers up to 46900 share no factor with it.
- 4
The digits of 46900 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46900 = 2^{2} \times 5^{2} \times 7 \times 67 \]46900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 118048 |
| Euler totient φ(n) | 15840 |
| Square | 2199610000 |
| Cube | 103161709000000 |
| Square root | 216.564078 (= 10√469) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.69 × |
46900 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred |
| Binary (base 2) | 1011011100110100 |
| Octal (base 8) | 133464 |
| Hexadecimal (base 16) | B734 |
| Base 3 | 2101100001 |
| As time | 46900 seconds = 13 h 1 min 40 s |
Is 46900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46900 ÷ 2 = 23450) | 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 | Yes (46900 ÷ 4 = 11725) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46900 ÷ 5 = 9380) | 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 (46900 ÷ 7 = 6700) | 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 4) | 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 | Yes (46900 ÷ 10 = 4690) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46900 a prime number?
No. 46900 = × × 7 × 67, so it is divisible by 2.
What are the factors of 46900?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 67, 70, 100, 134, 140, 175, 268, 335, 350, 469, 670, 700, 938, 1340, 1675, 1876, 2345, 3350, 4690, 6700, 9380, 11725, 23450, 46900.
What is 46900 in binary?
1011011100110100 (hexadecimal B734, octal 133464).
What is the square root of 46900?
About 216.5641, exactly 10√469.
Is 46900 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 46900?
46900 is a happy number: repeatedly adding the squares of its digits reaches 1.