The number 46970
46970 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 11 × 61. Divisors (32): 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 61, 70, 77, 110, 122, 154 … 46970.
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How to work it out
- 1
46970 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46970 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 46970 itself that is 60166, so 46970 is abundant (60166 is more than 46970). Euler's totient φ(46970) = 14400 numbers up to 46970 share no factor with it.
- 4
The digits of 46970 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46970 = 2 \times 5 \times 7 \times 11 \times 61 \]
46970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 14400 |
| Square | 2206180900 |
| Cube | 103624316873000 |
| Square root | 216.725633 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.697 × |
46970 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and seventy |
| Binary (base 2) | 1011011101111010 |
| Octal (base 8) | 133572 |
| Hexadecimal (base 16) | B77A |
| Base 3 | 2101102122 |
| As time | 46970 seconds = 13 h 2 min 50 s |
Is 46970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46970 ÷ 2 = 23485) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (46970 ÷ 5 = 9394) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46970 ÷ 7 = 6710) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46970 ÷ 10 = 4697) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46970 ÷ 11 = 4270) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46970 a prime number?
No. 46970 = 2 × 5 × 7 × 11 × 61, so it is divisible by 2.
What are the factors of 46970?
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 61, 70, 77, 110, 122, 154, 305, 385, 427, 610, 671, 770, 854, 1342, 2135, 3355, 4270, 4697, 6710, 9394, 23485, 46970.
What is 46970 in binary?
1011011101111010 (hexadecimal B77A, octal 133572).
What is the square root of 46970?
About 216.7256.
Is 46970 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46970?
It is a composite number with 32 divisors.