The number 31464
31464 is a composite number with 48 divisors. Its prime factorisation is × × 19 × 23. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 23, 24, 36, 38, 46, 57 … 31464.
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How to work it out
- 1
What is special about 31464: a Harshad number: divisible by its digit sum 18.
- 2
31464 is composite. Its prime factorisation is
- 3
The divisors add up to 93600; without 31464 itself that is 62136, so 31464 is abundant (62136 is more than 31464). Euler's totient φ(31464) = 9504 numbers up to 31464 share no factor with it.
- 4
The digits of 31464 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31464 = 2^{3} \times 3^{2} \times 19 \times 23 \]31464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 93600 |
| Euler totient φ(n) | 9504 |
| Square | 989983296 |
| Cube | 31148834425344 |
| Square root | 177.380946 (= 6√874) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1464 × |
31464 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and sixty-four |
| Binary (base 2) | 111101011101000 |
| Octal (base 8) | 75350 |
| Hexadecimal (base 16) | 7AE8 |
| Base 3 | 1121011100 |
| As time | 31464 seconds = 8 h 44 min 24 s |
Is 31464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31464 ÷ 2 = 15732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31464 ÷ 3 = 10488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31464 ÷ 4 = 7866) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31464 ÷ 6 = 5244) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (31464 ÷ 8 = 3933) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31464 ÷ 9 = 3496) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (31464 ÷ 12 = 2622) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31464 a prime number?
No. 31464 = × × 19 × 23, so it is divisible by 2.
What are the factors of 31464?
1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 23, 24, 36, 38, 46, 57, 69, 72, 76, 92, 114, 138, 152, 171, 184, 207, 228, 276, 342, 414, 437, 456, 552, 684, 828, 874, 1311, 1368, 1656, 1748, 2622, 3496, 3933, 5244, 7866, 10488, 15732, 31464.
What is 31464 in binary?
111101011101000 (hexadecimal 7AE8, octal 75350).
What is the square root of 31464?
About 177.3809, exactly 6√874.
Is 31464 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31464?
31464 is a Harshad number: divisible by its digit sum 18.