The number 45990
45990 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 7 × 73. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45 … 45990.
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How to work it out
- 1
What is special about 45990: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
45990 is composite. Its prime factorisation is
- 3
The divisors add up to 138528; without 45990 itself that is 92538, so 45990 is abundant (92538 is more than 45990). Euler's totient φ(45990) = 10368 numbers up to 45990 share no factor with it.
- 4
The digits of 45990 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 45990 = 2 \times 3^{2} \times 5 \times 7 \times 73 \]45990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 138528 |
| Euler totient φ(n) | 10368 |
| Square | 2115080100 |
| Cube | 97272533799000 |
| Square root | 214.452792 (= 3√5110) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.599 × |
45990 in other forms
| Form | Value |
|---|---|
| In words | forty-five thousand nine hundred and ninety |
| Binary (base 2) | 1011001110100110 |
| Octal (base 8) | 131646 |
| Hexadecimal (base 16) | B3A6 |
| Base 3 | 2100002100 |
| As time | 45990 seconds = 12 h 46 min 30 s |
Is 45990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (45990 ÷ 2 = 22995) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (45990 ÷ 3 = 15330) | 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 | Yes (45990 ÷ 5 = 9198) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (45990 ÷ 6 = 7665) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (45990 ÷ 7 = 6570) | 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 | Yes (45990 ÷ 9 = 5110) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (45990 ÷ 10 = 4599) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 45990 a prime number?
No. 45990 = 2 × × 5 × 7 × 73, so it is divisible by 2.
What are the factors of 45990?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 73, 90, 105, 126, 146, 210, 219, 315, 365, 438, 511, 630, 657, 730, 1022, 1095, 1314, 1533, 2190, 2555, 3066, 3285, 4599, 5110, 6570, 7665, 9198, 15330, 22995, 45990.
What is 45990 in binary?
1011001110100110 (hexadecimal B3A6, octal 131646).
What is the square root of 45990?
About 214.4528, exactly 3√5110.
Is 45990 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 45990?
45990 is a happy number: repeatedly adding the squares of its digits reaches 1.