The number 54900
54900 is a composite number with 54 divisors. Its prime factorisation is × × × 61. Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45 … 54900.
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How to work it out
- 1
What is special about 54900: a Harshad number: divisible by its digit sum 18.
- 2
54900 is composite. Its prime factorisation is
- 3
The divisors add up to 174902; without 54900 itself that is 120002, so 54900 is abundant (120002 is more than 54900). Euler's totient φ(54900) = 14400 numbers up to 54900 share no factor with it.
- 4
The digits of 54900 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54900 = 2^{2} \times 3^{2} \times 5^{2} \times 61 \]54900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 174902 |
| Euler totient φ(n) | 14400 |
| Square | 3014010000 |
| Cube | 165469149000000 |
| Square root | 234.307490 (= 30√61) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.49 × |
54900 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred |
| Binary (base 2) | 1101011001110100 |
| Octal (base 8) | 153164 |
| Hexadecimal (base 16) | D674 |
| Base 3 | 2210022100 |
| As time | 54900 seconds = 15 h 15 min 0 s |
Is 54900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54900 ÷ 2 = 27450) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54900 ÷ 3 = 18300) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54900 ÷ 4 = 13725) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54900 ÷ 5 = 10980) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54900 ÷ 6 = 9150) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54900 ÷ 9 = 6100) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54900 ÷ 10 = 5490) | 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 (54900 ÷ 12 = 4575) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54900 a prime number?
No. 54900 = × × × 61, so it is divisible by 2.
What are the factors of 54900?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 61, 75, 90, 100, 122, 150, 180, 183, 225, 244, 300, 305, 366, 450, 549, 610, 732, 900, 915, 1098, 1220, 1525, 1830, 2196, 2745, 3050, 3660, 4575, 5490, 6100, 9150, 10980, 13725, 18300, 27450, 54900.
What is 54900 in binary?
1101011001110100 (hexadecimal D674, octal 153164).
What is the square root of 54900?
About 234.3075, exactly 30√61.
Is 54900 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54900?
54900 is a Harshad number: divisible by its digit sum 18.