The number 25464
25464 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1061. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1061, 2122, 3183, 4244, 6366, 8488, 12732, 25464.
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How to work it out
- 1
What is special about 25464: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25464 is composite. Its prime factorisation is
- 3
The divisors add up to 63720; without 25464 itself that is 38256, so 25464 is abundant (38256 is more than 25464). Euler's totient φ(25464) = 8480 numbers up to 25464 share no factor with it.
- 4
The digits of 25464 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25464 = 2^{3} \times 3 \times 1061 \]25464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63720 |
| Euler totient φ(n) | 8480 |
| Square | 648415296 |
| Cube | 16511247097344 |
| Square root | 159.574434 (= 2√6366) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.5464 × |
25464 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand four hundred and sixty-four |
| Binary (base 2) | 110001101111000 |
| Octal (base 8) | 61570 |
| Hexadecimal (base 16) | 6378 |
| Base 3 | 1021221010 |
| As time | 25464 seconds = 7 h 4 min 24 s |
Is 25464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25464 ÷ 2 = 12732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25464 ÷ 3 = 8488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25464 ÷ 4 = 6366) | 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 (25464 ÷ 6 = 4244) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (25464 ÷ 8 = 3183) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (25464 ÷ 12 = 2122) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25464 a prime number?
No. 25464 = × 3 × 1061, so it is divisible by 2.
What are the factors of 25464?
1, 2, 3, 4, 6, 8, 12, 24, 1061, 2122, 3183, 4244, 6366, 8488, 12732, 25464.
What is 25464 in binary?
110001101111000 (hexadecimal 6378, octal 61570).
What is the square root of 25464?
About 159.5744, exactly 2√6366.
Is 25464 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 25464?
25464 is a happy number: repeatedly adding the squares of its digits reaches 1.