The number 24976
24976 is a triangular number: 1 + 2 + … + 223 = 24976. Its prime factorisation is × 7 × 223. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 223, 446, 892, 1561, 1784, 3122 … 24976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24976: a triangular number: 1 + 2 + … + 223 = 24976; a Harshad number: divisible by its digit sum 28.
- 2
24976 is composite. Its prime factorisation is
- 3
The divisors add up to 55552; without 24976 itself that is 30576, so 24976 is abundant (30576 is more than 24976). Euler's totient φ(24976) = 10656 numbers up to 24976 share no factor with it.
- 4
The digits of 24976 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24976 = 2^{4} \times 7 \times 223 \]24976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 55552 |
| Euler totient φ(n) | 10656 |
| Square | 623800576 |
| Cube | 15580043186176 |
| Square root | 158.037970 (= 4√1561) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4976 × |
24976 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and seventy-six |
| Binary (base 2) | 110000110010000 |
| Octal (base 8) | 60620 |
| Hexadecimal (base 16) | 6190 |
| Base 3 | 1021021001 |
| As time | 24976 seconds = 6 h 56 min 16 s |
Is 24976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24976 ÷ 2 = 12488) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24976 ÷ 4 = 6244) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24976 ÷ 7 = 3568) | 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 (24976 ÷ 8 = 3122) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24976 a prime number?
No. 24976 = × 7 × 223, so it is divisible by 2.
What are the factors of 24976?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 223, 446, 892, 1561, 1784, 3122, 3568, 6244, 12488, 24976.
What is 24976 in binary?
110000110010000 (hexadecimal 6190, octal 60620).
What is the square root of 24976?
About 158.0380, exactly 4√1561.
Is 24976 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 24976?
24976 is a triangular number: 1 + 2 + … + 223 = 24976; a Harshad number: divisible by its digit sum 28.