The number 46440
46440 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 43. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30 … 46440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46440: a Harshad number: divisible by its digit sum 18.
- 2
46440 is composite. Its prime factorisation is
- 3
The divisors add up to 158400; without 46440 itself that is 111960, so 46440 is abundant (111960 is more than 46440). Euler's totient φ(46440) = 12096 numbers up to 46440 share no factor with it.
- 4
The digits of 46440 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46440 = 2^{3} \times 3^{3} \times 5 \times 43 \]46440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 158400 |
| Euler totient φ(n) | 12096 |
| Square | 2156673600 |
| Cube | 100155921984000 |
| Square root | 215.499420 (= 6√1290) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.644 × |
46440 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and forty |
| Binary (base 2) | 1011010101101000 |
| Octal (base 8) | 132550 |
| Hexadecimal (base 16) | B568 |
| Base 3 | 2100201000 |
| As time | 46440 seconds = 12 h 54 min 0 s |
Is 46440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46440 ÷ 2 = 23220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46440 ÷ 3 = 15480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46440 ÷ 4 = 11610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46440 ÷ 5 = 9288) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46440 ÷ 6 = 7740) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (46440 ÷ 8 = 5805) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46440 ÷ 9 = 5160) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46440 ÷ 10 = 4644) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46440 ÷ 12 = 3870) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46440 a prime number?
No. 46440 = × × 5 × 43, so it is divisible by 2.
What are the factors of 46440?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 43, 45, 54, 60, 72, 86, 90, 108, 120, 129, 135, 172, 180, 215, 216, 258, 270, 344, 360, 387, 430, 516, 540, 645, 774, 860, 1032, 1080, 1161, 1290, 1548, 1720, 1935, 2322, 2580, 3096, 3870, 4644, 5160, 5805, 7740, 9288, 11610, 15480, 23220, 46440.
What is 46440 in binary?
1011010101101000 (hexadecimal B568, octal 132550).
What is the square root of 46440?
About 215.4994, exactly 6√1290.
Is 46440 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46440?
46440 is a Harshad number: divisible by its digit sum 18.